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Finding the Fourth Proportional to 12,638.60, 18,961.02 and 5,711.24

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Solution

The fourth proportional to 12,638.60, 18,961.02 and 5,711.24 is: 8,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.60 : 18,961.02 = 5,711.24 : x
  2. Step 2: Convert to fraction form
    12,638.60/18,961.02 = 5,711.24/x
  3. Step 3: Cross multiply
    12,638.60x = 18,961.02 × 5,711.24
  4. Step 4: Simplify right side
    12,638.60x = 108,290,935.86
  5. Step 5: Solve for x
    x = 108,290,935.86/12,638.60
  6. Step 6: Final answer
    x = 8,568.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.