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Finding the Fourth Proportional to 27,647.97, 41,474.11 and 10,117.41

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Solution

The fourth proportional to 27,647.97, 41,474.11 and 10,117.41 is: 15,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.97 : 41,474.11 = 10,117.41 : x
  2. Step 2: Convert to fraction form
    27,647.97/41,474.11 = 10,117.41/x
  3. Step 3: Cross multiply
    27,647.97x = 41,474.11 × 10,117.41
  4. Step 4: Simplify right side
    27,647.97x = 419,610,575.26
  5. Step 5: Solve for x
    x = 419,610,575.26/27,647.97
  6. Step 6: Final answer
    x = 15,176.90

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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.