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Finding the Fourth Proportional to 13,740.66, 18,963.12 and 7,691.49

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Solution

The fourth proportional to 13,740.66, 18,963.12 and 7,691.49 is: 10,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.66 : 18,963.12 = 7,691.49 : x
  2. Step 2: Convert to fraction form
    13,740.66/18,963.12 = 7,691.49/x
  3. Step 3: Cross multiply
    13,740.66x = 18,963.12 × 7,691.49
  4. Step 4: Simplify right side
    13,740.66x = 145,854,647.85
  5. Step 5: Solve for x
    x = 145,854,647.85/13,740.66
  6. Step 6: Final answer
    x = 10,614.82

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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.