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Finding the Fourth Proportional to 24,432.83, 33,714.46 and 13,678.29

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Solution

The fourth proportional to 24,432.83, 33,714.46 and 13,678.29 is: 18,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432.83 : 33,714.46 = 13,678.29 : x
  2. Step 2: Convert to fraction form
    24,432.83/33,714.46 = 13,678.29/x
  3. Step 3: Cross multiply
    24,432.83x = 33,714.46 × 13,678.29
  4. Step 4: Simplify right side
    24,432.83x = 461,156,092.68
  5. Step 5: Solve for x
    x = 461,156,092.68/24,432.83
  6. Step 6: Final answer
    x = 18,874.44

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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.