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Finding the Fourth Proportional to 20,091.87, 27,737.82 and 13,728.02

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Solution

The fourth proportional to 20,091.87, 27,737.82 and 13,728.02 is: 18,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091.87 : 27,737.82 = 13,728.02 : x
  2. Step 2: Convert to fraction form
    20,091.87/27,737.82 = 13,728.02/x
  3. Step 3: Cross multiply
    20,091.87x = 27,737.82 × 13,728.02
  4. Step 4: Simplify right side
    20,091.87x = 380,785,209.03
  5. Step 5: Solve for x
    x = 380,785,209.03/20,091.87
  6. Step 6: Final answer
    x = 18,952.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.