ANSWER:
18 V
STEP-BY-STEP EXPLANATION:
Given:
Initial condition (1):
input voltage = Vi1 = 24 V
output voltage = Vo1 = 36 V
Final condition (2):
input voltage = Vi2 = 12 V
We can calculate the output voltage of the final condition as follows:
[tex]\begin{gathered} \frac{V_{i1}}{V_{o1}}=\frac{V_{\imaginaryI2}}{V_{o2}} \\ \\ \text{ We replacing:} \\ \\ \frac{24}{36}=\frac{12}{V_{o2}} \\ \\ V_{o2}=\frac{12}{24}\cdot36 \\ \\ V_{o2}=18\text{ V} \end{gathered}[/tex]Therefore, in the final condition, the output voltage will be 18 volts.