To solve the given proportional equation, we start with the ratio [tex]\( \frac{9}{11} \)[/tex] and aim to find the unknown number [tex]\( x \)[/tex] in the ratio [tex]\( \frac{x}{22} \)[/tex].
First, we set up the equation based on the given proportion:
[tex]\[ \frac{9}{11} = \frac{x}{22} \][/tex]
Next, we cross-multiply to eliminate the fractions:
[tex]\[ 9 \times 22 = 11 \times x \][/tex]
This simplifies to:
[tex]\[ 198 = 11x \][/tex]
To isolate [tex]\( x \)[/tex], we divide both sides by 11:
[tex]\[ x = \frac{198}{11} \][/tex]
Performing the division gives us:
[tex]\[ x = 18 \][/tex]
Thus, the value of [tex]\( x \)[/tex] that satisfies the proportion [tex]\( \frac{9}{11} = \frac{x}{22} \)[/tex] is 18. Therefore, the correct answer is:
D. 18
