Answer
$p=24$.
Work Step by Step
The given equation is
$\Rightarrow \frac{3}{4}p=18$
Multiply both sides by $\frac{4}{3}$.
$\Rightarrow \frac{4}{3}\cdot \frac{3}{4}p=\frac{4}{3}\cdot 18$
Simplify.
$\Rightarrow p=24$.
Check:-
$\Rightarrow \frac{3}{4}(24)=18$
$\Rightarrow 18=18$
True.
Hence, the solution is $p=24$.