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Finding the Fourth Proportional to 13,608.73, 18,781.98 and 7,640.80

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Solution

The fourth proportional to 13,608.73, 18,781.98 and 7,640.80 is: 10,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.73 : 18,781.98 = 7,640.80 : x
  2. Step 2: Convert to fraction form
    13,608.73/18,781.98 = 7,640.80/x
  3. Step 3: Cross multiply
    13,608.73x = 18,781.98 × 7,640.80
  4. Step 4: Simplify right side
    13,608.73x = 143,509,305.83
  5. Step 5: Solve for x
    x = 143,509,305.83/13,608.73
  6. Step 6: Final answer
    x = 10,545.39

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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.