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Finding the Fourth Proportional to 16,949.42, 25,414.60 and 6,951.42

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Solution

The fourth proportional to 16,949.42, 25,414.60 and 6,951.42 is: 10,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,949.42 : 25,414.60 = 6,951.42 : x
  2. Step 2: Convert to fraction form
    16,949.42/25,414.60 = 6,951.42/x
  3. Step 3: Cross multiply
    16,949.42x = 25,414.60 × 6,951.42
  4. Step 4: Simplify right side
    16,949.42x = 176,667,431.66
  5. Step 5: Solve for x
    x = 176,667,431.66/16,949.42
  6. Step 6: Final answer
    x = 10,423.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.