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Finding the Fourth Proportional to 22,271.68, 33,411.21 and 8,231.73

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Solution

The fourth proportional to 22,271.68, 33,411.21 and 8,231.73 is: 12,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.68 : 33,411.21 = 8,231.73 : x
  2. Step 2: Convert to fraction form
    22,271.68/33,411.21 = 8,231.73/x
  3. Step 3: Cross multiply
    22,271.68x = 33,411.21 × 8,231.73
  4. Step 4: Simplify right side
    22,271.68x = 275,032,059.69
  5. Step 5: Solve for x
    x = 275,032,059.69/22,271.68
  6. Step 6: Final answer
    x = 12,348.96

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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.