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Finding the Fourth Proportional to 20,983.60, 31,475.40 and 20,177.20

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Solution

The fourth proportional to 20,983.60, 31,475.40 and 20,177.20 is: 30,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983.60 : 31,475.40 = 20,177.20 : x
  2. Step 2: Convert to fraction form
    20,983.60/31,475.40 = 20,177.20/x
  3. Step 3: Cross multiply
    20,983.60x = 31,475.40 × 20,177.20
  4. Step 4: Simplify right side
    20,983.60x = 635,085,440.88
  5. Step 5: Solve for x
    x = 635,085,440.88/20,983.60
  6. Step 6: Final answer
    x = 30,265.80

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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.