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Finding the Fourth Proportional to 27,857.39, 41,786.28 and 8,149.68

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Solution

The fourth proportional to 27,857.39, 41,786.28 and 8,149.68 is: 12,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.39 : 41,786.28 = 8,149.68 : x
  2. Step 2: Convert to fraction form
    27,857.39/41,786.28 = 8,149.68/x
  3. Step 3: Cross multiply
    27,857.39x = 41,786.28 × 8,149.68
  4. Step 4: Simplify right side
    27,857.39x = 340,544,810.39
  5. Step 5: Solve for x
    x = 340,544,810.39/27,857.39
  6. Step 6: Final answer
    x = 12,224.58

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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.