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Finding the Fourth Proportional to 20,565.20, 30,847.80 and 17,454.80

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Solution

The fourth proportional to 20,565.20, 30,847.80 and 17,454.80 is: 26,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.20 : 30,847.80 = 17,454.80 : x
  2. Step 2: Convert to fraction form
    20,565.20/30,847.80 = 17,454.80/x
  3. Step 3: Cross multiply
    20,565.20x = 30,847.80 × 17,454.80
  4. Step 4: Simplify right side
    20,565.20x = 538,442,179.44
  5. Step 5: Solve for x
    x = 538,442,179.44/20,565.20
  6. Step 6: Final answer
    x = 26,182.20

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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.