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Finding the Fourth Proportional to 20,535.66, 30,761.90 and 16,132.50

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Solution

The fourth proportional to 20,535.66, 30,761.90 and 16,132.50 is: 24,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.66 : 30,761.90 = 16,132.50 : x
  2. Step 2: Convert to fraction form
    20,535.66/30,761.90 = 16,132.50/x
  3. Step 3: Cross multiply
    20,535.66x = 30,761.90 × 16,132.50
  4. Step 4: Simplify right side
    20,535.66x = 496,266,351.75
  5. Step 5: Solve for x
    x = 496,266,351.75/20,535.66
  6. Step 6: Final answer
    x = 24,166.08

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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.