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Finding the Fourth Proportional to 26,021.85, 39,044.85 and 8,255.31

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Solution

The fourth proportional to 26,021.85, 39,044.85 and 8,255.31 is: 12,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,021.85 : 39,044.85 = 8,255.31 : x
  2. Step 2: Convert to fraction form
    26,021.85/39,044.85 = 8,255.31/x
  3. Step 3: Cross multiply
    26,021.85x = 39,044.85 × 8,255.31
  4. Step 4: Simplify right side
    26,021.85x = 322,327,340.65
  5. Step 5: Solve for x
    x = 322,327,340.65/26,021.85
  6. Step 6: Final answer
    x = 12,386.80

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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.