Sure! Let's solve the proportion step-by-step.
We are given the proportion:
[tex]\[ \frac{9.5}{19} = \frac{x}{30} \][/tex]
To solve for [tex]\( x \)[/tex], we can use cross-multiplication. Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the products equal. This means we will perform the following steps:
1. Multiply the numerator of the first fraction by the denominator of the second fraction:
[tex]\[ 9.5 \times 30 \][/tex]
2. Multiply the denominator of the first fraction by the numerator of the second fraction:
[tex]\[ 19 \times x \][/tex]
Set these equal:
[tex]\[ 9.5 \times 30 = 19 \times x \][/tex]
Now, let's perform the multiplication on the left-hand side:
[tex]\[ 9.5 \times 30 = 285 \][/tex]
So, we now have:
[tex]\[ 285 = 19 \times x \][/tex]
To isolate [tex]\( x \)[/tex], we need to divide both sides of the equation by 19:
[tex]\[ x = \frac{285}{19} \][/tex]
When we perform the division:
[tex]\[ x = 15 \][/tex]
Thus, the value of [tex]\( x \)[/tex] is [tex]\( 15 \)[/tex].
So, the answer is:
[tex]\[ \boxed{15} \][/tex]
