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Finding the Fourth Proportional to 26,023.25, 39,046.97 and 8,256.71

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Solution

The fourth proportional to 26,023.25, 39,046.97 and 8,256.71 is: 12,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,023.25 : 39,046.97 = 8,256.71 : x
  2. Step 2: Convert to fraction form
    26,023.25/39,046.97 = 8,256.71/x
  3. Step 3: Cross multiply
    26,023.25x = 39,046.97 × 8,256.71
  4. Step 4: Simplify right side
    26,023.25x = 322,399,625.93
  5. Step 5: Solve for x
    x = 322,399,625.93/26,023.25
  6. Step 6: Final answer
    x = 12,388.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.