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Finding the Fourth Proportional to 13,658.34, 18,850.20 and 7,691.13

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Solution

The fourth proportional to 13,658.34, 18,850.20 and 7,691.13 is: 10,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.34 : 18,850.20 = 7,691.13 : x
  2. Step 2: Convert to fraction form
    13,658.34/18,850.20 = 7,691.13/x
  3. Step 3: Cross multiply
    13,658.34x = 18,850.20 × 7,691.13
  4. Step 4: Simplify right side
    13,658.34x = 144,979,338.73
  5. Step 5: Solve for x
    x = 144,979,338.73/13,658.34
  6. Step 6: Final answer
    x = 10,614.71

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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.