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Finding the Fourth Proportional to 24,571.96, 36,847.41 and 11,422.96

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Solution

The fourth proportional to 24,571.96, 36,847.41 and 11,422.96 is: 17,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571.96 : 36,847.41 = 11,422.96 : x
  2. Step 2: Convert to fraction form
    24,571.96/36,847.41 = 11,422.96/x
  3. Step 3: Cross multiply
    24,571.96x = 36,847.41 × 11,422.96
  4. Step 4: Simplify right side
    24,571.96x = 420,906,490.53
  5. Step 5: Solve for x
    x = 420,906,490.53/24,571.96
  6. Step 6: Final answer
    x = 17,129.54

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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.