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Finding the Fourth Proportional to 20,757.60, 31,136.40 and 5,965.20

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Solution

The fourth proportional to 20,757.60, 31,136.40 and 5,965.20 is: 8,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.60 : 31,136.40 = 5,965.20 : x
  2. Step 2: Convert to fraction form
    20,757.60/31,136.40 = 5,965.20/x
  3. Step 3: Cross multiply
    20,757.60x = 31,136.40 × 5,965.20
  4. Step 4: Simplify right side
    20,757.60x = 185,734,853.28
  5. Step 5: Solve for x
    x = 185,734,853.28/20,757.60
  6. Step 6: Final answer
    x = 8,947.80

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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.