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Finding the Fourth Proportional to 22,425.90, 33,638.58 and 6,843.57

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Solution

The fourth proportional to 22,425.90, 33,638.58 and 6,843.57 is: 10,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425.90 : 33,638.58 = 6,843.57 : x
  2. Step 2: Convert to fraction form
    22,425.90/33,638.58 = 6,843.57/x
  3. Step 3: Cross multiply
    22,425.90x = 33,638.58 × 6,843.57
  4. Step 4: Simplify right side
    22,425.90x = 230,207,976.93
  5. Step 5: Solve for x
    x = 230,207,976.93/22,425.90
  6. Step 6: Final answer
    x = 10,265.27

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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.