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Finding the Fourth Proportional to 22,287.78, 33,396.50 and 8,228.46

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Solution

The fourth proportional to 22,287.78, 33,396.50 and 8,228.46 is: 12,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.78 : 33,396.50 = 8,228.46 : x
  2. Step 2: Convert to fraction form
    22,287.78/33,396.50 = 8,228.46/x
  3. Step 3: Cross multiply
    22,287.78x = 33,396.50 × 8,228.46
  4. Step 4: Simplify right side
    22,287.78x = 274,801,764.39
  5. Step 5: Solve for x
    x = 274,801,764.39/22,287.78
  6. Step 6: Final answer
    x = 12,329.71

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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.