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Finding the Fourth Proportional to 20,761.66, 31,139.10 and 5,967.22

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Solution

The fourth proportional to 20,761.66, 31,139.10 and 5,967.22 is: 8,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.66 : 31,139.10 = 5,967.22 : x
  2. Step 2: Convert to fraction form
    20,761.66/31,139.10 = 5,967.22/x
  3. Step 3: Cross multiply
    20,761.66x = 31,139.10 × 5,967.22
  4. Step 4: Simplify right side
    20,761.66x = 185,813,860.30
  5. Step 5: Solve for x
    x = 185,813,860.30/20,761.66
  6. Step 6: Final answer
    x = 8,949.86

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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.