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Finding the Fourth Proportional to 12,713.24, 17,545.17 and 7,049.82

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Solution

The fourth proportional to 12,713.24, 17,545.17 and 7,049.82 is: 9,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.24 : 17,545.17 = 7,049.82 : x
  2. Step 2: Convert to fraction form
    12,713.24/17,545.17 = 7,049.82/x
  3. Step 3: Cross multiply
    12,713.24x = 17,545.17 × 7,049.82
  4. Step 4: Simplify right side
    12,713.24x = 123,690,290.37
  5. Step 5: Solve for x
    x = 123,690,290.37/12,713.24
  6. Step 6: Final answer
    x = 9,729.25

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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.