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Finding the Fourth Proportional to 17,891, 26,841.26 and 6,204.20

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Solution

The fourth proportional to 17,891, 26,841.26 and 6,204.20 is: 9,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891 : 26,841.26 = 6,204.20 : x
  2. Step 2: Convert to fraction form
    17,891/26,841.26 = 6,204.20/x
  3. Step 3: Cross multiply
    17,891x = 26,841.26 × 6,204.20
  4. Step 4: Simplify right side
    17,891x = 166,528,545.29
  5. Step 5: Solve for x
    x = 166,528,545.29/17,891
  6. Step 6: Final answer
    x = 9,307.95

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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.