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Finding the Fourth Proportional to 12,713.40, 17,545.54 and 7,049.96

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Solution

The fourth proportional to 12,713.40, 17,545.54 and 7,049.96 is: 9,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.40 : 17,545.54 = 7,049.96 : x
  2. Step 2: Convert to fraction form
    12,713.40/17,545.54 = 7,049.96/x
  3. Step 3: Cross multiply
    12,713.40x = 17,545.54 × 7,049.96
  4. Step 4: Simplify right side
    12,713.40x = 123,695,355.18
  5. Step 5: Solve for x
    x = 123,695,355.18/12,713.40
  6. Step 6: Final answer
    x = 9,729.53

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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.