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Finding the Fourth Proportional to 13,660.28, 18,850.46 and 7,691.76

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Solution

The fourth proportional to 13,660.28, 18,850.46 and 7,691.76 is: 10,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.28 : 18,850.46 = 7,691.76 : x
  2. Step 2: Convert to fraction form
    13,660.28/18,850.46 = 7,691.76/x
  3. Step 3: Cross multiply
    13,660.28x = 18,850.46 × 7,691.76
  4. Step 4: Simplify right side
    13,660.28x = 144,993,214.21
  5. Step 5: Solve for x
    x = 144,993,214.21/13,660.28
  6. Step 6: Final answer
    x = 10,614.22

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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.