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Finding the Fourth Proportional to 17,321.29, 25,965.22 and 7,967.71

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Solution

The fourth proportional to 17,321.29, 25,965.22 and 7,967.71 is: 11,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321.29 : 25,965.22 = 7,967.71 : x
  2. Step 2: Convert to fraction form
    17,321.29/25,965.22 = 7,967.71/x
  3. Step 3: Cross multiply
    17,321.29x = 25,965.22 × 7,967.71
  4. Step 4: Simplify right side
    17,321.29x = 206,883,343.05
  5. Step 5: Solve for x
    x = 206,883,343.05/17,321.29
  6. Step 6: Final answer
    x = 11,943.88

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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.