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Finding the Fourth Proportional to 17,357.88, 26,044.68 and 6,825

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Solution

The fourth proportional to 17,357.88, 26,044.68 and 6,825 is: 10,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,357.88 : 26,044.68 = 6,825 : x
  2. Step 2: Convert to fraction form
    17,357.88/26,044.68 = 6,825/x
  3. Step 3: Cross multiply
    17,357.88x = 26,044.68 × 6,825
  4. Step 4: Simplify right side
    17,357.88x = 177,754,941
  5. Step 5: Solve for x
    x = 177,754,941/17,357.88
  6. Step 6: Final answer
    x = 10,240.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.