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Finding the Fourth Proportional to 27,819.77, 41,736.48 and 8,098.51

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Solution

The fourth proportional to 27,819.77, 41,736.48 and 8,098.51 is: 12,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,819.77 : 41,736.48 = 8,098.51 : x
  2. Step 2: Convert to fraction form
    27,819.77/41,736.48 = 8,098.51/x
  3. Step 3: Cross multiply
    27,819.77x = 41,736.48 × 8,098.51
  4. Step 4: Simplify right side
    27,819.77x = 338,003,300.64
  5. Step 5: Solve for x
    x = 338,003,300.64/27,819.77
  6. Step 6: Final answer
    x = 12,149.75

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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.