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Finding the Fourth Proportional to 24,542.87, 36,816.12 and 23,214.26

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Solution

The fourth proportional to 24,542.87, 36,816.12 and 23,214.26 is: 34,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542.87 : 36,816.12 = 23,214.26 : x
  2. Step 2: Convert to fraction form
    24,542.87/36,816.12 = 23,214.26/x
  3. Step 3: Cross multiply
    24,542.87x = 36,816.12 × 23,214.26
  4. Step 4: Simplify right side
    24,542.87x = 854,659,073.91
  5. Step 5: Solve for x
    x = 854,659,073.91/24,542.87
  6. Step 6: Final answer
    x = 34,823.12

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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.