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Finding the Fourth Proportional to 24,909, 34,375.14 and 13,731.72

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Solution

The fourth proportional to 24,909, 34,375.14 and 13,731.72 is: 18,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909 : 34,375.14 = 13,731.72 : x
  2. Step 2: Convert to fraction form
    24,909/34,375.14 = 13,731.72/x
  3. Step 3: Cross multiply
    24,909x = 34,375.14 × 13,731.72
  4. Step 4: Simplify right side
    24,909x = 472,029,797.44
  5. Step 5: Solve for x
    x = 472,029,797.44/24,909
  6. Step 6: Final answer
    x = 18,950.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.