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Finding the Fourth Proportional to 16,195.60, 22,351.29 and 9,123.38

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Solution

The fourth proportional to 16,195.60, 22,351.29 and 9,123.38 is: 12,591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.60 : 22,351.29 = 9,123.38 : x
  2. Step 2: Convert to fraction form
    16,195.60/22,351.29 = 9,123.38/x
  3. Step 3: Cross multiply
    16,195.60x = 22,351.29 × 9,123.38
  4. Step 4: Simplify right side
    16,195.60x = 203,919,427.05
  5. Step 5: Solve for x
    x = 203,919,427.05/16,195.60
  6. Step 6: Final answer
    x = 12,591.04

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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.