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Finding the Fourth Proportional to 20,171.70, 30,286.35 and 11,423.70

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Solution

The fourth proportional to 20,171.70, 30,286.35 and 11,423.70 is: 17,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.70 : 30,286.35 = 11,423.70 : x
  2. Step 2: Convert to fraction form
    20,171.70/30,286.35 = 11,423.70/x
  3. Step 3: Cross multiply
    20,171.70x = 30,286.35 × 11,423.70
  4. Step 4: Simplify right side
    20,171.70x = 345,982,176.50
  5. Step 5: Solve for x
    x = 345,982,176.50/20,171.70
  6. Step 6: Final answer
    x = 17,151.86

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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.