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Finding the Fourth Proportional to 27,824.73, 41,736.48 and 6,764.88

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Solution

The fourth proportional to 27,824.73, 41,736.48 and 6,764.88 is: 10,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.73 : 41,736.48 = 6,764.88 : x
  2. Step 2: Convert to fraction form
    27,824.73/41,736.48 = 6,764.88/x
  3. Step 3: Cross multiply
    27,824.73x = 41,736.48 × 6,764.88
  4. Step 4: Simplify right side
    27,824.73x = 282,342,295.73
  5. Step 5: Solve for x
    x = 282,342,295.73/27,824.73
  6. Step 6: Final answer
    x = 10,147.17

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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.