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Finding the Fourth Proportional to 24,287.46, 33,516.84 and 13,677.30

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Solution

The fourth proportional to 24,287.46, 33,516.84 and 13,677.30 is: 18,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.46 : 33,516.84 = 13,677.30 : x
  2. Step 2: Convert to fraction form
    24,287.46/33,516.84 = 13,677.30/x
  3. Step 3: Cross multiply
    24,287.46x = 33,516.84 × 13,677.30
  4. Step 4: Simplify right side
    24,287.46x = 458,419,875.73
  5. Step 5: Solve for x
    x = 458,419,875.73/24,287.46
  6. Step 6: Final answer
    x = 18,874.76

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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.