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Finding the Fourth Proportional to 24,761.92, 34,159.44 and 16,385.44

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Solution

The fourth proportional to 24,761.92, 34,159.44 and 16,385.44 is: 22,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.92 : 34,159.44 = 16,385.44 : x
  2. Step 2: Convert to fraction form
    24,761.92/34,159.44 = 16,385.44/x
  3. Step 3: Cross multiply
    24,761.92x = 34,159.44 × 16,385.44
  4. Step 4: Simplify right side
    24,761.92x = 559,717,454.55
  5. Step 5: Solve for x
    x = 559,717,454.55/24,761.92
  6. Step 6: Final answer
    x = 22,603.96

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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.