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Finding the Fourth Proportional to 27,675.72, 41,512.50 and 7,954.20

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Solution

The fourth proportional to 27,675.72, 41,512.50 and 7,954.20 is: 11,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.72 : 41,512.50 = 7,954.20 : x
  2. Step 2: Convert to fraction form
    27,675.72/41,512.50 = 7,954.20/x
  3. Step 3: Cross multiply
    27,675.72x = 41,512.50 × 7,954.20
  4. Step 4: Simplify right side
    27,675.72x = 330,198,727.50
  5. Step 5: Solve for x
    x = 330,198,727.50/27,675.72
  6. Step 6: Final answer
    x = 11,930.99

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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.