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Finding the Fourth Proportional to 24,310.31, 36,462.33 and 6,542.44

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Solution

The fourth proportional to 24,310.31, 36,462.33 and 6,542.44 is: 9,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.31 : 36,462.33 = 6,542.44 : x
  2. Step 2: Convert to fraction form
    24,310.31/36,462.33 = 6,542.44/x
  3. Step 3: Cross multiply
    24,310.31x = 36,462.33 × 6,542.44
  4. Step 4: Simplify right side
    24,310.31x = 238,552,515.13
  5. Step 5: Solve for x
    x = 238,552,515.13/24,310.31
  6. Step 6: Final answer
    x = 9,812.81

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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.