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Finding the Fourth Proportional to 24,397.28, 36,600.44 and 7,761.50

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Solution

The fourth proportional to 24,397.28, 36,600.44 and 7,761.50 is: 11,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.28 : 36,600.44 = 7,761.50 : x
  2. Step 2: Convert to fraction form
    24,397.28/36,600.44 = 7,761.50/x
  3. Step 3: Cross multiply
    24,397.28x = 36,600.44 × 7,761.50
  4. Step 4: Simplify right side
    24,397.28x = 284,074,093.25
  5. Step 5: Solve for x
    x = 284,074,093.25/24,397.28
  6. Step 6: Final answer
    x = 11,643.68

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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.