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Finding the Fourth Proportional to 12,149.49, 18,229.78 and 5,487.77

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Solution

The fourth proportional to 12,149.49, 18,229.78 and 5,487.77 is: 8,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.49 : 18,229.78 = 5,487.77 : x
  2. Step 2: Convert to fraction form
    12,149.49/18,229.78 = 5,487.77/x
  3. Step 3: Cross multiply
    12,149.49x = 18,229.78 × 5,487.77
  4. Step 4: Simplify right side
    12,149.49x = 100,040,785.89
  5. Step 5: Solve for x
    x = 100,040,785.89/12,149.49
  6. Step 6: Final answer
    x = 8,234.16

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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.