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Finding the Fourth Proportional to 17,257.62, 23,821.38 and 11,959.41

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Solution

The fourth proportional to 17,257.62, 23,821.38 and 11,959.41 is: 16,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.62 : 23,821.38 = 11,959.41 : x
  2. Step 2: Convert to fraction form
    17,257.62/23,821.38 = 11,959.41/x
  3. Step 3: Cross multiply
    17,257.62x = 23,821.38 × 11,959.41
  4. Step 4: Simplify right side
    17,257.62x = 284,889,650.19
  5. Step 5: Solve for x
    x = 284,889,650.19/17,257.62
  6. Step 6: Final answer
    x = 16,508.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.