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Finding the Fourth Proportional to 17,082.09, 25,625.88 and 5,394.42

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Solution

The fourth proportional to 17,082.09, 25,625.88 and 5,394.42 is: 8,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.09 : 25,625.88 = 5,394.42 : x
  2. Step 2: Convert to fraction form
    17,082.09/25,625.88 = 5,394.42/x
  3. Step 3: Cross multiply
    17,082.09x = 25,625.88 × 5,394.42
  4. Step 4: Simplify right side
    17,082.09x = 138,236,759.59
  5. Step 5: Solve for x
    x = 138,236,759.59/17,082.09
  6. Step 6: Final answer
    x = 8,092.50

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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.