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Finding the Fourth Proportional to 17,872.53, 24,662.09 and 9,912.76

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Solution

The fourth proportional to 17,872.53, 24,662.09 and 9,912.76 is: 13,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.53 : 24,662.09 = 9,912.76 : x
  2. Step 2: Convert to fraction form
    17,872.53/24,662.09 = 9,912.76/x
  3. Step 3: Cross multiply
    17,872.53x = 24,662.09 × 9,912.76
  4. Step 4: Simplify right side
    17,872.53x = 244,469,379.27
  5. Step 5: Solve for x
    x = 244,469,379.27/17,872.53
  6. Step 6: Final answer
    x = 13,678.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.