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Finding the Fourth Proportional to 27,647.41, 41,469.75 and 10,115.88

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Solution

The fourth proportional to 27,647.41, 41,469.75 and 10,115.88 is: 15,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.41 : 41,469.75 = 10,115.88 : x
  2. Step 2: Convert to fraction form
    27,647.41/41,469.75 = 10,115.88/x
  3. Step 3: Cross multiply
    27,647.41x = 41,469.75 × 10,115.88
  4. Step 4: Simplify right side
    27,647.41x = 419,503,014.63
  5. Step 5: Solve for x
    x = 419,503,014.63/27,647.41
  6. Step 6: Final answer
    x = 15,173.32

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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.