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Finding the Fourth Proportional to 20,190.28, 27,857 and 12,121.88

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Solution

The fourth proportional to 20,190.28, 27,857 and 12,121.88 is: 16,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,190.28 : 27,857 = 12,121.88 : x
  2. Step 2: Convert to fraction form
    20,190.28/27,857 = 12,121.88/x
  3. Step 3: Cross multiply
    20,190.28x = 27,857 × 12,121.88
  4. Step 4: Simplify right side
    20,190.28x = 337,679,211.16
  5. Step 5: Solve for x
    x = 337,679,211.16/20,190.28
  6. Step 6: Final answer
    x = 16,724.84

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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.