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Finding the Fourth Proportional to 26,112.80, 36,035.97 and 14,781.31

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Solution

The fourth proportional to 26,112.80, 36,035.97 and 14,781.31 is: 20,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,112.80 : 36,035.97 = 14,781.31 : x
  2. Step 2: Convert to fraction form
    26,112.80/36,035.97 = 14,781.31/x
  3. Step 3: Cross multiply
    26,112.80x = 36,035.97 × 14,781.31
  4. Step 4: Simplify right side
    26,112.80x = 532,658,843.72
  5. Step 5: Solve for x
    x = 532,658,843.72/26,112.80
  6. Step 6: Final answer
    x = 20,398.38

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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.