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Finding the Fourth Proportional to 17,296.43, 25,934.13 and 6,764.49

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Solution

The fourth proportional to 17,296.43, 25,934.13 and 6,764.49 is: 10,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.43 : 25,934.13 = 6,764.49 : x
  2. Step 2: Convert to fraction form
    17,296.43/25,934.13 = 6,764.49/x
  3. Step 3: Cross multiply
    17,296.43x = 25,934.13 × 6,764.49
  4. Step 4: Simplify right side
    17,296.43x = 175,431,163.04
  5. Step 5: Solve for x
    x = 175,431,163.04/17,296.43
  6. Step 6: Final answer
    x = 10,142.63

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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.