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Finding the Fourth Proportional to 17,135.68, 25,704.34 and 5,449

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Solution

The fourth proportional to 17,135.68, 25,704.34 and 5,449 is: 8,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,135.68 : 25,704.34 = 5,449 : x
  2. Step 2: Convert to fraction form
    17,135.68/25,704.34 = 5,449/x
  3. Step 3: Cross multiply
    17,135.68x = 25,704.34 × 5,449
  4. Step 4: Simplify right side
    17,135.68x = 140,062,948.66
  5. Step 5: Solve for x
    x = 140,062,948.66/17,135.68
  6. Step 6: Final answer
    x = 8,173.76

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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.