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Finding the Fourth Proportional to 24,309.72, 36,445.14 and 10,468.44

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Solution

The fourth proportional to 24,309.72, 36,445.14 and 10,468.44 is: 15,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.72 : 36,445.14 = 10,468.44 : x
  2. Step 2: Convert to fraction form
    24,309.72/36,445.14 = 10,468.44/x
  3. Step 3: Cross multiply
    24,309.72x = 36,445.14 × 10,468.44
  4. Step 4: Simplify right side
    24,309.72x = 381,523,761.38
  5. Step 5: Solve for x
    x = 381,523,761.38/24,309.72
  6. Step 6: Final answer
    x = 15,694.29

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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.