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Finding the Fourth Proportional to 20,517.47, 30,765.65 and 9,414.59

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Solution

The fourth proportional to 20,517.47, 30,765.65 and 9,414.59 is: 14,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.47 : 30,765.65 = 9,414.59 : x
  2. Step 2: Convert to fraction form
    20,517.47/30,765.65 = 9,414.59/x
  3. Step 3: Cross multiply
    20,517.47x = 30,765.65 × 9,414.59
  4. Step 4: Simplify right side
    20,517.47x = 289,645,980.83
  5. Step 5: Solve for x
    x = 289,645,980.83/20,517.47
  6. Step 6: Final answer
    x = 14,117.05

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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.