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Finding the Fourth Proportional to 13,789.14, 20,687.36 and 7,213.56

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Solution

The fourth proportional to 13,789.14, 20,687.36 and 7,213.56 is: 10,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.14 : 20,687.36 = 7,213.56 : x
  2. Step 2: Convert to fraction form
    13,789.14/20,687.36 = 7,213.56/x
  3. Step 3: Cross multiply
    13,789.14x = 20,687.36 × 7,213.56
  4. Step 4: Simplify right side
    13,789.14x = 149,229,512.60
  5. Step 5: Solve for x
    x = 149,229,512.60/13,789.14
  6. Step 6: Final answer
    x = 10,822.25

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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.