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Finding the Fourth Proportional to 17,278.52, 25,912.31 and 5,589

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Solution

The fourth proportional to 17,278.52, 25,912.31 and 5,589 is: 8,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.52 : 25,912.31 = 5,589 : x
  2. Step 2: Convert to fraction form
    17,278.52/25,912.31 = 5,589/x
  3. Step 3: Cross multiply
    17,278.52x = 25,912.31 × 5,589
  4. Step 4: Simplify right side
    17,278.52x = 144,823,872.65
  5. Step 5: Solve for x
    x = 144,823,872.65/17,278.52
  6. Step 6: Final answer
    x = 8,381.73

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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.