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Finding the Fourth Proportional to 20,691.75, 30,773.14 and 20,470.32

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Solution

The fourth proportional to 20,691.75, 30,773.14 and 20,470.32 is: 30,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.75 : 30,773.14 = 20,470.32 : x
  2. Step 2: Convert to fraction form
    20,691.75/30,773.14 = 20,470.32/x
  3. Step 3: Cross multiply
    20,691.75x = 30,773.14 × 20,470.32
  4. Step 4: Simplify right side
    20,691.75x = 629,936,029.60
  5. Step 5: Solve for x
    x = 629,936,029.60/20,691.75
  6. Step 6: Final answer
    x = 30,443.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.