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Finding the Fourth Proportional to 20,211.31, 27,892.92 and 13,912.75

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Solution

The fourth proportional to 20,211.31, 27,892.92 and 13,912.75 is: 19,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.31 : 27,892.92 = 13,912.75 : x
  2. Step 2: Convert to fraction form
    20,211.31/27,892.92 = 13,912.75/x
  3. Step 3: Cross multiply
    20,211.31x = 27,892.92 × 13,912.75
  4. Step 4: Simplify right side
    20,211.31x = 388,067,222.73
  5. Step 5: Solve for x
    x = 388,067,222.73/20,211.31
  6. Step 6: Final answer
    x = 19,200.50

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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.