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Finding the Fourth Proportional to 22,432.68, 33,650.78 and 6,850.44

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Solution

The fourth proportional to 22,432.68, 33,650.78 and 6,850.44 is: 10,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.68 : 33,650.78 = 6,850.44 : x
  2. Step 2: Convert to fraction form
    22,432.68/33,650.78 = 6,850.44/x
  3. Step 3: Cross multiply
    22,432.68x = 33,650.78 × 6,850.44
  4. Step 4: Simplify right side
    22,432.68x = 230,522,649.34
  5. Step 5: Solve for x
    x = 230,522,649.34/22,432.68
  6. Step 6: Final answer
    x = 10,276.20

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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.