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Finding the Fourth Proportional to 22,213.80, 30,654.15 and 12,142.59

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Solution

The fourth proportional to 22,213.80, 30,654.15 and 12,142.59 is: 16,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213.80 : 30,654.15 = 12,142.59 : x
  2. Step 2: Convert to fraction form
    22,213.80/30,654.15 = 12,142.59/x
  3. Step 3: Cross multiply
    22,213.80x = 30,654.15 × 12,142.59
  4. Step 4: Simplify right side
    22,213.80x = 372,220,775.25
  5. Step 5: Solve for x
    x = 372,220,775.25/22,213.80
  6. Step 6: Final answer
    x = 16,756.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.