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Finding the Fourth Proportional to 26,879.57, 40,319.46 and 8,159.78

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Solution

The fourth proportional to 26,879.57, 40,319.46 and 8,159.78 is: 12,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,879.57 : 40,319.46 = 8,159.78 : x
  2. Step 2: Convert to fraction form
    26,879.57/40,319.46 = 8,159.78/x
  3. Step 3: Cross multiply
    26,879.57x = 40,319.46 × 8,159.78
  4. Step 4: Simplify right side
    26,879.57x = 328,997,721.72
  5. Step 5: Solve for x
    x = 328,997,721.72/26,879.57
  6. Step 6: Final answer
    x = 12,239.70

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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.