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Finding the Fourth Proportional to 12,713.35, 17,545.66 and 7,049.94

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Solution

The fourth proportional to 12,713.35, 17,545.66 and 7,049.94 is: 9,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.35 : 17,545.66 = 7,049.94 : x
  2. Step 2: Convert to fraction form
    12,713.35/17,545.66 = 7,049.94/x
  3. Step 3: Cross multiply
    12,713.35x = 17,545.66 × 7,049.94
  4. Step 4: Simplify right side
    12,713.35x = 123,695,850.26
  5. Step 5: Solve for x
    x = 123,695,850.26/12,713.35
  6. Step 6: Final answer
    x = 9,729.60

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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.