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Finding the Fourth Proportional to 27,633.58, 41,450.23 and 7,912.13

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Solution

The fourth proportional to 27,633.58, 41,450.23 and 7,912.13 is: 11,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.58 : 41,450.23 = 7,912.13 : x
  2. Step 2: Convert to fraction form
    27,633.58/41,450.23 = 7,912.13/x
  3. Step 3: Cross multiply
    27,633.58x = 41,450.23 × 7,912.13
  4. Step 4: Simplify right side
    27,633.58x = 327,959,410.93
  5. Step 5: Solve for x
    x = 327,959,410.93/27,633.58
  6. Step 6: Final answer
    x = 11,868.15

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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.