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Finding the Fourth Proportional to 22,186.80, 33,270.68 and 8,142.21

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Solution

The fourth proportional to 22,186.80, 33,270.68 and 8,142.21 is: 12,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186.80 : 33,270.68 = 8,142.21 : x
  2. Step 2: Convert to fraction form
    22,186.80/33,270.68 = 8,142.21/x
  3. Step 3: Cross multiply
    22,186.80x = 33,270.68 × 8,142.21
  4. Step 4: Simplify right side
    22,186.80x = 270,896,883.76
  5. Step 5: Solve for x
    x = 270,896,883.76/22,186.80
  6. Step 6: Final answer
    x = 12,209.82

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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.