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Finding the Fourth Proportional to 12,337.53, 18,509.03 and 5,760.13

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Solution

The fourth proportional to 12,337.53, 18,509.03 and 5,760.13 is: 8,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.53 : 18,509.03 = 5,760.13 : x
  2. Step 2: Convert to fraction form
    12,337.53/18,509.03 = 5,760.13/x
  3. Step 3: Cross multiply
    12,337.53x = 18,509.03 × 5,760.13
  4. Step 4: Simplify right side
    12,337.53x = 106,614,387.10
  5. Step 5: Solve for x
    x = 106,614,387.10/12,337.53
  6. Step 6: Final answer
    x = 8,641.47

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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.