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Finding the Fourth Proportional to 27,669.97, 41,505.24 and 7,948.48

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Solution

The fourth proportional to 27,669.97, 41,505.24 and 7,948.48 is: 11,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,669.97 : 41,505.24 = 7,948.48 : x
  2. Step 2: Convert to fraction form
    27,669.97/41,505.24 = 7,948.48/x
  3. Step 3: Cross multiply
    27,669.97x = 41,505.24 × 7,948.48
  4. Step 4: Simplify right side
    27,669.97x = 329,903,570.04
  5. Step 5: Solve for x
    x = 329,903,570.04/27,669.97
  6. Step 6: Final answer
    x = 11,922.80

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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.