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Finding the Fourth Proportional to 24,287.76, 33,517.02 and 13,677.41

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Solution

The fourth proportional to 24,287.76, 33,517.02 and 13,677.41 is: 18,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.76 : 33,517.02 = 13,677.41 : x
  2. Step 2: Convert to fraction form
    24,287.76/33,517.02 = 13,677.41/x
  3. Step 3: Cross multiply
    24,287.76x = 33,517.02 × 13,677.41
  4. Step 4: Simplify right side
    24,287.76x = 458,425,856.93
  5. Step 5: Solve for x
    x = 458,425,856.93/24,287.76
  6. Step 6: Final answer
    x = 18,874.77

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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.