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Finding the Fourth Proportional to 17,371.88, 26,065.68 and 6,839

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Solution

The fourth proportional to 17,371.88, 26,065.68 and 6,839 is: 10,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,371.88 : 26,065.68 = 6,839 : x
  2. Step 2: Convert to fraction form
    17,371.88/26,065.68 = 6,839/x
  3. Step 3: Cross multiply
    17,371.88x = 26,065.68 × 6,839
  4. Step 4: Simplify right side
    17,371.88x = 178,263,185.52
  5. Step 5: Solve for x
    x = 178,263,185.52/17,371.88
  6. Step 6: Final answer
    x = 10,261.59

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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.