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Finding the Fourth Proportional to 26,138.42, 39,209.09 and 8,370.65

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Solution

The fourth proportional to 26,138.42, 39,209.09 and 8,370.65 is: 12,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.42 : 39,209.09 = 8,370.65 : x
  2. Step 2: Convert to fraction form
    26,138.42/39,209.09 = 8,370.65/x
  3. Step 3: Cross multiply
    26,138.42x = 39,209.09 × 8,370.65
  4. Step 4: Simplify right side
    26,138.42x = 328,205,331.31
  5. Step 5: Solve for x
    x = 328,205,331.31/26,138.42
  6. Step 6: Final answer
    x = 12,556.44

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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.