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Finding the Fourth Proportional to 24,432.58, 33,714.11 and 13,678.04

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Solution

The fourth proportional to 24,432.58, 33,714.11 and 13,678.04 is: 18,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432.58 : 33,714.11 = 13,678.04 : x
  2. Step 2: Convert to fraction form
    24,432.58/33,714.11 = 13,678.04/x
  3. Step 3: Cross multiply
    24,432.58x = 33,714.11 × 13,678.04
  4. Step 4: Simplify right side
    24,432.58x = 461,143,063.62
  5. Step 5: Solve for x
    x = 461,143,063.62/24,432.58
  6. Step 6: Final answer
    x = 18,874.11

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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.