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Finding the Fourth Proportional to 22,423.62, 33,640.38 and 6,842.46

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Solution

The fourth proportional to 22,423.62, 33,640.38 and 6,842.46 is: 10,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.62 : 33,640.38 = 6,842.46 : x
  2. Step 2: Convert to fraction form
    22,423.62/33,640.38 = 6,842.46/x
  3. Step 3: Cross multiply
    22,423.62x = 33,640.38 × 6,842.46
  4. Step 4: Simplify right side
    22,423.62x = 230,182,954.53
  5. Step 5: Solve for x
    x = 230,182,954.53/22,423.62
  6. Step 6: Final answer
    x = 10,265.20

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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.