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Finding the Fourth Proportional to 17,631, 26,437.32 and 5,940

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Solution

The fourth proportional to 17,631, 26,437.32 and 5,940 is: 8,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631 : 26,437.32 = 5,940 : x
  2. Step 2: Convert to fraction form
    17,631/26,437.32 = 5,940/x
  3. Step 3: Cross multiply
    17,631x = 26,437.32 × 5,940
  4. Step 4: Simplify right side
    17,631x = 157,037,680.80
  5. Step 5: Solve for x
    x = 157,037,680.80/17,631
  6. Step 6: Final answer
    x = 8,906.91

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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.