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Finding the Fourth Proportional to 17,976.54, 26,968.22 and 8,115.78

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Solution

The fourth proportional to 17,976.54, 26,968.22 and 8,115.78 is: 12,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976.54 : 26,968.22 = 8,115.78 : x
  2. Step 2: Convert to fraction form
    17,976.54/26,968.22 = 8,115.78/x
  3. Step 3: Cross multiply
    17,976.54x = 26,968.22 × 8,115.78
  4. Step 4: Simplify right side
    17,976.54x = 218,868,231.50
  5. Step 5: Solve for x
    x = 218,868,231.50/17,976.54
  6. Step 6: Final answer
    x = 12,175.21

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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.