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Finding the Fourth Proportional to 17,757.71, 26,640.90 and 5,911.46

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Solution

The fourth proportional to 17,757.71, 26,640.90 and 5,911.46 is: 8,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.71 : 26,640.90 = 5,911.46 : x
  2. Step 2: Convert to fraction form
    17,757.71/26,640.90 = 5,911.46/x
  3. Step 3: Cross multiply
    17,757.71x = 26,640.90 × 5,911.46
  4. Step 4: Simplify right side
    17,757.71x = 157,486,581.41
  5. Step 5: Solve for x
    x = 157,486,581.41/17,757.71
  6. Step 6: Final answer
    x = 8,868.63

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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.