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Finding the Fourth Proportional to 26,761.74, 40,128 and 11,167.62

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Solution

The fourth proportional to 26,761.74, 40,128 and 11,167.62 is: 16,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,761.74 : 40,128 = 11,167.62 : x
  2. Step 2: Convert to fraction form
    26,761.74/40,128 = 11,167.62/x
  3. Step 3: Cross multiply
    26,761.74x = 40,128 × 11,167.62
  4. Step 4: Simplify right side
    26,761.74x = 448,134,255.36
  5. Step 5: Solve for x
    x = 448,134,255.36/26,761.74
  6. Step 6: Final answer
    x = 16,745.33

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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.