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Finding the Fourth Proportional to 20,409.48, 30,591.90 and 8,729.64

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Solution

The fourth proportional to 20,409.48, 30,591.90 and 8,729.64 is: 13,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.48 : 30,591.90 = 8,729.64 : x
  2. Step 2: Convert to fraction form
    20,409.48/30,591.90 = 8,729.64/x
  3. Step 3: Cross multiply
    20,409.48x = 30,591.90 × 8,729.64
  4. Step 4: Simplify right side
    20,409.48x = 267,056,273.92
  5. Step 5: Solve for x
    x = 267,056,273.92/20,409.48
  6. Step 6: Final answer
    x = 13,084.91

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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.