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Finding the Fourth Proportional to 22,096.38, 30,493.01 and 12,160.38

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Solution

The fourth proportional to 22,096.38, 30,493.01 and 12,160.38 is: 16,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.38 : 30,493.01 = 12,160.38 : x
  2. Step 2: Convert to fraction form
    22,096.38/30,493.01 = 12,160.38/x
  3. Step 3: Cross multiply
    22,096.38x = 30,493.01 × 12,160.38
  4. Step 4: Simplify right side
    22,096.38x = 370,806,375.68
  5. Step 5: Solve for x
    x = 370,806,375.68/22,096.38
  6. Step 6: Final answer
    x = 16,781.32

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Why These Related Problems?

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