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Finding the Fourth Proportional to 22,213.70, 30,654.06 and 12,142.05

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Solution

The fourth proportional to 22,213.70, 30,654.06 and 12,142.05 is: 16,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213.70 : 30,654.06 = 12,142.05 : x
  2. Step 2: Convert to fraction form
    22,213.70/30,654.06 = 12,142.05/x
  3. Step 3: Cross multiply
    22,213.70x = 30,654.06 × 12,142.05
  4. Step 4: Simplify right side
    22,213.70x = 372,203,129.22
  5. Step 5: Solve for x
    x = 372,203,129.22/22,213.70
  6. Step 6: Final answer
    x = 16,755.57

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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.