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Finding the Fourth Proportional to 27,819.30, 41,728.94 and 6,759.23

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Solution

The fourth proportional to 27,819.30, 41,728.94 and 6,759.23 is: 10,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,819.30 : 41,728.94 = 6,759.23 : x
  2. Step 2: Convert to fraction form
    27,819.30/41,728.94 = 6,759.23/x
  3. Step 3: Cross multiply
    27,819.30x = 41,728.94 × 6,759.23
  4. Step 4: Simplify right side
    27,819.30x = 282,055,415.69
  5. Step 5: Solve for x
    x = 282,055,415.69/27,819.30
  6. Step 6: Final answer
    x = 10,138.84

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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.