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Finding the Fourth Proportional to 18,912.38, 26,098.86 and 10,414.32

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Solution

The fourth proportional to 18,912.38, 26,098.86 and 10,414.32 is: 14,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,912.38 : 26,098.86 = 10,414.32 : x
  2. Step 2: Convert to fraction form
    18,912.38/26,098.86 = 10,414.32/x
  3. Step 3: Cross multiply
    18,912.38x = 26,098.86 × 10,414.32
  4. Step 4: Simplify right side
    18,912.38x = 271,801,879.68
  5. Step 5: Solve for x
    x = 271,801,879.68/18,912.38
  6. Step 6: Final answer
    x = 14,371.64

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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.