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Finding the Fourth Proportional to 24,286.40, 36,414.50 and 10,239.20

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Solution

The fourth proportional to 24,286.40, 36,414.50 and 10,239.20 is: 15,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.40 : 36,414.50 = 10,239.20 : x
  2. Step 2: Convert to fraction form
    24,286.40/36,414.50 = 10,239.20/x
  3. Step 3: Cross multiply
    24,286.40x = 36,414.50 × 10,239.20
  4. Step 4: Simplify right side
    24,286.40x = 372,855,115.13
  5. Step 5: Solve for x
    x = 372,855,115.13/24,286.40
  6. Step 6: Final answer
    x = 15,352.43

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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.