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Finding the Fourth Proportional to 24,761.62, 37,142.11 and 11,604.68

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Solution

The fourth proportional to 24,761.62, 37,142.11 and 11,604.68 is: 17,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.62 : 37,142.11 = 11,604.68 : x
  2. Step 2: Convert to fraction form
    24,761.62/37,142.11 = 11,604.68/x
  3. Step 3: Cross multiply
    24,761.62x = 37,142.11 × 11,604.68
  4. Step 4: Simplify right side
    24,761.62x = 431,022,301.07
  5. Step 5: Solve for x
    x = 431,022,301.07/24,761.62
  6. Step 6: Final answer
    x = 17,406.87

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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.