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Finding the Fourth Proportional to 27,996.50, 41,999.07 and 10,468.82

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Solution

The fourth proportional to 27,996.50, 41,999.07 and 10,468.82 is: 15,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.50 : 41,999.07 = 10,468.82 : x
  2. Step 2: Convert to fraction form
    27,996.50/41,999.07 = 10,468.82/x
  3. Step 3: Cross multiply
    27,996.50x = 41,999.07 × 10,468.82
  4. Step 4: Simplify right side
    27,996.50x = 439,680,704.00
  5. Step 5: Solve for x
    x = 439,680,704.00/27,996.50
  6. Step 6: Final answer
    x = 15,704.85

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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.