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Finding the Fourth Proportional to 12,091.14, 16,687.59 and 7,378.14

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Solution

The fourth proportional to 12,091.14, 16,687.59 and 7,378.14 is: 10,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.14 : 16,687.59 = 7,378.14 : x
  2. Step 2: Convert to fraction form
    12,091.14/16,687.59 = 7,378.14/x
  3. Step 3: Cross multiply
    12,091.14x = 16,687.59 × 7,378.14
  4. Step 4: Simplify right side
    12,091.14x = 123,123,375.28
  5. Step 5: Solve for x
    x = 123,123,375.28/12,091.14
  6. Step 6: Final answer
    x = 10,182.94

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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.