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Finding the Fourth Proportional to 17,874.74, 26,819.46 and 6,196.16

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Solution

The fourth proportional to 17,874.74, 26,819.46 and 6,196.16 is: 9,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.74 : 26,819.46 = 6,196.16 : x
  2. Step 2: Convert to fraction form
    17,874.74/26,819.46 = 6,196.16/x
  3. Step 3: Cross multiply
    17,874.74x = 26,819.46 × 6,196.16
  4. Step 4: Simplify right side
    17,874.74x = 166,177,531.18
  5. Step 5: Solve for x
    x = 166,177,531.18/17,874.74
  6. Step 6: Final answer
    x = 9,296.78

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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.