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Finding the Fourth Proportional to 12,711.41, 17,541.82 and 7,046.24

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Solution

The fourth proportional to 12,711.41, 17,541.82 and 7,046.24 is: 9,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.41 : 17,541.82 = 7,046.24 : x
  2. Step 2: Convert to fraction form
    12,711.41/17,541.82 = 7,046.24/x
  3. Step 3: Cross multiply
    12,711.41x = 17,541.82 × 7,046.24
  4. Step 4: Simplify right side
    12,711.41x = 123,603,853.89
  5. Step 5: Solve for x
    x = 123,603,853.89/12,711.41
  6. Step 6: Final answer
    x = 9,723.85

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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.