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Finding the Fourth Proportional to 20,532.66, 30,757.41 and 16,129.50

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Solution

The fourth proportional to 20,532.66, 30,757.41 and 16,129.50 is: 24,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.66 : 30,757.41 = 16,129.50 : x
  2. Step 2: Convert to fraction form
    20,532.66/30,757.41 = 16,129.50/x
  3. Step 3: Cross multiply
    20,532.66x = 30,757.41 × 16,129.50
  4. Step 4: Simplify right side
    20,532.66x = 496,101,644.60
  5. Step 5: Solve for x
    x = 496,101,644.60/20,532.66
  6. Step 6: Final answer
    x = 24,161.59

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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.