Finding the Fourth Proportional to 23,184, 31,993.92 and 13,248
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Solution
The fourth proportional to 23,184, 31,993.92 and 13,248 is: 18,282.24
Step by Step Solution
- Step 1: Write the proportion equation
23,184 : 31,993.92 = 13,248 : x - Step 2: Convert to fraction form
23,184/31,993.92 = 13,248/x - Step 3: Cross multiply
23,184x = 31,993.92 × 13,248 - Step 4: Simplify right side
23,184x = 423,855,452.16 - Step 5: Solve for x
x = 423,855,452.16/23,184 - Step 6: Final answer
x = 18,282.24
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.