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Finding the Fourth Proportional to 13,404.80, 18,489.38 and 8,092.82

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Solution

The fourth proportional to 13,404.80, 18,489.38 and 8,092.82 is: 11,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.80 : 18,489.38 = 8,092.82 : x
  2. Step 2: Convert to fraction form
    13,404.80/18,489.38 = 8,092.82/x
  3. Step 3: Cross multiply
    13,404.80x = 18,489.38 × 8,092.82
  4. Step 4: Simplify right side
    13,404.80x = 149,631,224.25
  5. Step 5: Solve for x
    x = 149,631,224.25/13,404.80
  6. Step 6: Final answer
    x = 11,162.51

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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.