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Finding the Fourth Proportional to 20,727.20, 31,090.80 and 13,728.80

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Solution

The fourth proportional to 20,727.20, 31,090.80 and 13,728.80 is: 20,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,727.20 : 31,090.80 = 13,728.80 : x
  2. Step 2: Convert to fraction form
    20,727.20/31,090.80 = 13,728.80/x
  3. Step 3: Cross multiply
    20,727.20x = 31,090.80 × 13,728.80
  4. Step 4: Simplify right side
    20,727.20x = 426,839,375.04
  5. Step 5: Solve for x
    x = 426,839,375.04/20,727.20
  6. Step 6: Final answer
    x = 20,593.20

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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.