Question

$\frac{9}{g}=\frac{16}{10}$
$\frac{3}{4}=\frac{n}{20}$
$\frac{12}{7}=\frac{36}{m}$

Explanation:

Step1: Solve for the first unknown (top equation, let the numerator be $q$)

We have $\frac{q}{9} = \frac{16}{10}$. Multiply both sides by 9 to isolate $q$.
$q = 9 \times \frac{16}{10}$
$q = \frac{144}{10} = \frac{72}{5} = 14.4$

Step2: Solve for $n$ (middle equation)

We have $\frac{3}{4} = \frac{n}{20}$. Multiply both sides by 20 to isolate $n$.
$n = 20 \times \frac{3}{4}$
$n = 15$

Step3: Solve for $m$ (bottom equation)

We have $\frac{12}{7} = \frac{36}{m}$. Cross-multiply to solve for $m$.
$12m = 36 \times 7$
$m = \frac{36 \times 7}{12}$
$m = 21$

Answer:

$q = \frac{72}{5}$ (or 14.4), $n = 15$, $m = 21$