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Finding the Fourth Proportional to 15,183.14, 20,951.12 and 8,469.05

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Solution

The fourth proportional to 15,183.14, 20,951.12 and 8,469.05 is: 11,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,183.14 : 20,951.12 = 8,469.05 : x
  2. Step 2: Convert to fraction form
    15,183.14/20,951.12 = 8,469.05/x
  3. Step 3: Cross multiply
    15,183.14x = 20,951.12 × 8,469.05
  4. Step 4: Simplify right side
    15,183.14x = 177,435,999.25
  5. Step 5: Solve for x
    x = 177,435,999.25/15,183.14
  6. Step 6: Final answer
    x = 11,686.39

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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.