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```latex
\begin{tabular}{ccc}
Activo & Pasivo & Patrimonio \\
17000 & & 4000 \\
40000 & 22000 & \\
& 13000 & 43000 \\
[tex]$A = P + PN$[/tex] & [tex]$PN = 4 - P$[/tex] & [tex]$P - A - PN$[/tex]
\end{tabular}
```


Sagot :

Sure! Let's go through the table step-by-step to find the missing values using the accounting equation:

### Accounting Equation
The basic accounting equation is:
[tex]\[ \text{Assets} = \text{Liabilities} + \text{Equity} \][/tex]
where:
- Assets (A) represent the total resources owned by the entity.
- Liabilities (L) represent the total debts owed by the entity.
- Equity (E) represents the owner's residual interest in the entity.

Let's fill in the table using the above equation:

### Step-by-Step Solution

1. First Row:
- Assets (A1) = 17,000
- Liabilities (L1) = ?
- Equity (E1) = 4,000

Using the accounting equation:
[tex]\[ \text{Assets} = \text{Liabilities} + \text{Equity} \][/tex]

Plugging in the values we have:
[tex]\[ 17,000 = \text{Liabilities} + 4,000 \][/tex]

Solving for Liabilities:
[tex]\[ \text{Liabilities} = 17,000 - 4,000 \][/tex]
[tex]\[ \text{Liabilities} = 13,000 \][/tex]

So, the missing value for the first row is:
- Liabilities (L1) = 13,000

2. Second Row:
- Assets (A2) = 40,000
- Liabilities (L2) = 22,000
- Equity (E2) = ?

Using the accounting equation:
[tex]\[ \text{Assets} = \text{Liabilities} + \text{Equity} \][/tex]

Plugging in the values we have:
[tex]\[ 40,000 = 22,000 + \text{Equity} \][/tex]

Solving for Equity:
[tex]\[ \text{Equity} = 40,000 - 22,000 \][/tex]
[tex]\[ \text{Equity} = 18,000 \][/tex]

So, the missing value for the second row is:
- Equity (E2) = 18,000

3. Third Row:
- Assets (A3) = ?
- Liabilities (L3) = 13,000
- Equity (E3) = 43,000

Using the accounting equation:
[tex]\[ \text{Assets} = \text{Liabilities} + \text{Equity} \][/tex]

Plugging in the values we have:
[tex]\[ \text{Assets} = 13,000 + 43,000 \][/tex]

Solving for Assets:
[tex]\[ \text{Assets} = 56,000 \][/tex]

So, the missing value for the third row is:
- Assets (A3) = 56,000

### Completed Table
Now, with all the missing values filled in, the table looks like this:

[tex]\[ \begin{tabular}{ccc} \text{Assets} & \text{Liabilities} & \text{Equity} \\ 17,000 & 13,000 & 4,000 \\ 40,000 & 22,000 & 18,000 \\ 56,000 & 13,000 & 43,000 \\ \end{tabular} \][/tex]

So, the missing values are:
- First Row: Liabilities = 13,000
- Second Row: Equity = 18,000
- Third Row: Assets = 56,000

These values ensure that the accounting equation holds true for all the rows.
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