To find the length of \( x \) in the given situation, we need more context to determine how \( x \) relates to the given dimensions. However, assuming you're working with a proportional relationship between the first set of dimensions (11.4 inches and 18 inches) and the second set (x and 23.4 inches), we can set up a proportion.
From the first set, the ratio is \( \frac{11.4}{18} \). From the second set, the ratio is \( \frac{x}{23.4} \).
Setting these two ratios equal gives us:
\[ \frac{11.4}{18} = \frac{x}{23.4} \]
Now we can cross-multiply:
\[ 11.4 \cdot 23.4 = 18 \cdot x \]
Calculating the left side:
\[ 11.4 \cdot 23.4 = 267.96 \]
So we have:
\[ 267.96 = 18x \]
Now, divide both sides by 18 to solve for \( x \):
\[ x = \frac{267.96}{18} \approx 14.88 \]
Thus, the length of \( x \) in decimal form to the nearest hundredth is:
\[ \boxed{14.88} \]
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