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Finding the Fourth Proportional to 22,175.74, 33,280.53 and 8,149.06

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Solution

The fourth proportional to 22,175.74, 33,280.53 and 8,149.06 is: 12,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175.74 : 33,280.53 = 8,149.06 : x
  2. Step 2: Convert to fraction form
    22,175.74/33,280.53 = 8,149.06/x
  3. Step 3: Cross multiply
    22,175.74x = 33,280.53 × 8,149.06
  4. Step 4: Simplify right side
    22,175.74x = 271,205,035.80
  5. Step 5: Solve for x
    x = 271,205,035.80/22,175.74
  6. Step 6: Final answer
    x = 12,229.81

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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.