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Finding the Fourth Proportional to 17,074, 25,614.81 and 5,229.43

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Solution

The fourth proportional to 17,074, 25,614.81 and 5,229.43 is: 7,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,074 : 25,614.81 = 5,229.43 : x
  2. Step 2: Convert to fraction form
    17,074/25,614.81 = 5,229.43/x
  3. Step 3: Cross multiply
    17,074x = 25,614.81 × 5,229.43
  4. Step 4: Simplify right side
    17,074x = 133,950,855.86
  5. Step 5: Solve for x
    x = 133,950,855.86/17,074
  6. Step 6: Final answer
    x = 7,845.31

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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.