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Finding the Fourth Proportional to 20,659.20, 31,053.60 and 20,270.40

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Solution

The fourth proportional to 20,659.20, 31,053.60 and 20,270.40 is: 30,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.20 : 31,053.60 = 20,270.40 : x
  2. Step 2: Convert to fraction form
    20,659.20/31,053.60 = 20,270.40/x
  3. Step 3: Cross multiply
    20,659.20x = 31,053.60 × 20,270.40
  4. Step 4: Simplify right side
    20,659.20x = 629,468,893.44
  5. Step 5: Solve for x
    x = 629,468,893.44/20,659.20
  6. Step 6: Final answer
    x = 30,469.18

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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.