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Finding the Fourth Proportional to 24,151.32, 36,232.92 and 19,513.38

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Solution

The fourth proportional to 24,151.32, 36,232.92 and 19,513.38 is: 29,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,151.32 : 36,232.92 = 19,513.38 : x
  2. Step 2: Convert to fraction form
    24,151.32/36,232.92 = 19,513.38/x
  3. Step 3: Cross multiply
    24,151.32x = 36,232.92 × 19,513.38
  4. Step 4: Simplify right side
    24,151.32x = 707,026,736.47
  5. Step 5: Solve for x
    x = 707,026,736.47/24,151.32
  6. Step 6: Final answer
    x = 29,274.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.