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Finding the Fourth Proportional to 13,183.71, 18,195.29 and 8,481.66

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Solution

The fourth proportional to 13,183.71, 18,195.29 and 8,481.66 is: 11,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.71 : 18,195.29 = 8,481.66 : x
  2. Step 2: Convert to fraction form
    13,183.71/18,195.29 = 8,481.66/x
  3. Step 3: Cross multiply
    13,183.71x = 18,195.29 × 8,481.66
  4. Step 4: Simplify right side
    13,183.71x = 154,326,263.38
  5. Step 5: Solve for x
    x = 154,326,263.38/13,183.71
  6. Step 6: Final answer
    x = 11,705.83

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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.