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Finding the Fourth Proportional to 22,524.26, 33,786.38 and 6,108.26

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Solution

The fourth proportional to 22,524.26, 33,786.38 and 6,108.26 is: 9,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.26 : 33,786.38 = 6,108.26 : x
  2. Step 2: Convert to fraction form
    22,524.26/33,786.38 = 6,108.26/x
  3. Step 3: Cross multiply
    22,524.26x = 33,786.38 × 6,108.26
  4. Step 4: Simplify right side
    22,524.26x = 206,375,993.50
  5. Step 5: Solve for x
    x = 206,375,993.50/22,524.26
  6. Step 6: Final answer
    x = 9,162.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.