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Finding the Fourth Proportional to 24,147.92, 36,213.24 and 13,062.80

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Solution

The fourth proportional to 24,147.92, 36,213.24 and 13,062.80 is: 19,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.92 : 36,213.24 = 13,062.80 : x
  2. Step 2: Convert to fraction form
    24,147.92/36,213.24 = 13,062.80/x
  3. Step 3: Cross multiply
    24,147.92x = 36,213.24 × 13,062.80
  4. Step 4: Simplify right side
    24,147.92x = 473,046,311.47
  5. Step 5: Solve for x
    x = 473,046,311.47/24,147.92
  6. Step 6: Final answer
    x = 19,589.53

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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.