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Finding the Fourth Proportional to 13,545.38, 18,685.10 and 7,879.49

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Solution

The fourth proportional to 13,545.38, 18,685.10 and 7,879.49 is: 10,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.38 : 18,685.10 = 7,879.49 : x
  2. Step 2: Convert to fraction form
    13,545.38/18,685.10 = 7,879.49/x
  3. Step 3: Cross multiply
    13,545.38x = 18,685.10 × 7,879.49
  4. Step 4: Simplify right side
    13,545.38x = 147,229,058.60
  5. Step 5: Solve for x
    x = 147,229,058.60/13,545.38
  6. Step 6: Final answer
    x = 10,869.32

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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.