To determine the value of [tex]\( x \)[/tex] such that [tex]\(\frac{3}{4}\)[/tex] is equivalent to [tex]\(\frac{12}{x}\)[/tex], we can set up the equation:
[tex]\[
\frac{3}{4} = \frac{12}{x}
\][/tex]
First, we will cross-multiply to eliminate the fractions:
[tex]\[
3 \cdot x = 4 \cdot 12
\][/tex]
This simplifies to:
[tex]\[
3x = 48
\][/tex]
Next, we solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 3:
[tex]\[
x = \frac{48}{3}
\][/tex]
Doing the division:
[tex]\[
x = 16
\][/tex]
Therefore, the correct answer is:
D. 16
