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Finding the Fourth Proportional to 22,532.75, 33,799.22 and 6,116.75

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Solution

The fourth proportional to 22,532.75, 33,799.22 and 6,116.75 is: 9,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.75 : 33,799.22 = 6,116.75 : x
  2. Step 2: Convert to fraction form
    22,532.75/33,799.22 = 6,116.75/x
  3. Step 3: Cross multiply
    22,532.75x = 33,799.22 × 6,116.75
  4. Step 4: Simplify right side
    22,532.75x = 206,741,348.35
  5. Step 5: Solve for x
    x = 206,741,348.35/22,532.75
  6. Step 6: Final answer
    x = 9,175.15

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