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Finding the Fourth Proportional to 22,227.84, 33,354.88 and 8,197.66

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Solution

The fourth proportional to 22,227.84, 33,354.88 and 8,197.66 is: 12,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,227.84 : 33,354.88 = 8,197.66 : x
  2. Step 2: Convert to fraction form
    22,227.84/33,354.88 = 8,197.66/x
  3. Step 3: Cross multiply
    22,227.84x = 33,354.88 × 8,197.66
  4. Step 4: Simplify right side
    22,227.84x = 273,432,050.58
  5. Step 5: Solve for x
    x = 273,432,050.58/22,227.84
  6. Step 6: Final answer
    x = 12,301.33

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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.