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Finding the Fourth Proportional to 20,505.20, 30,772.20 and 13,127.60

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Solution

The fourth proportional to 20,505.20, 30,772.20 and 13,127.60 is: 19,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.20 : 30,772.20 = 13,127.60 : x
  2. Step 2: Convert to fraction form
    20,505.20/30,772.20 = 13,127.60/x
  3. Step 3: Cross multiply
    20,505.20x = 30,772.20 × 13,127.60
  4. Step 4: Simplify right side
    20,505.20x = 403,965,132.72
  5. Step 5: Solve for x
    x = 403,965,132.72/20,505.20
  6. Step 6: Final answer
    x = 19,700.62

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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.