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Finding the Fourth Proportional to 12,715.22, 17,545.38 and 7,049.92

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Solution

The fourth proportional to 12,715.22, 17,545.38 and 7,049.92 is: 9,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.22 : 17,545.38 = 7,049.92 : x
  2. Step 2: Convert to fraction form
    12,715.22/17,545.38 = 7,049.92/x
  3. Step 3: Cross multiply
    12,715.22x = 17,545.38 × 7,049.92
  4. Step 4: Simplify right side
    12,715.22x = 123,693,525.37
  5. Step 5: Solve for x
    x = 123,693,525.37/12,715.22
  6. Step 6: Final answer
    x = 9,727.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.