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Finding the Fourth Proportional to 12,311.72, 16,940.96 and 11,967.27

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Solution

The fourth proportional to 12,311.72, 16,940.96 and 11,967.27 is: 16,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.72 : 16,940.96 = 11,967.27 : x
  2. Step 2: Convert to fraction form
    12,311.72/16,940.96 = 11,967.27/x
  3. Step 3: Cross multiply
    12,311.72x = 16,940.96 × 11,967.27
  4. Step 4: Simplify right side
    12,311.72x = 202,737,072.30
  5. Step 5: Solve for x
    x = 202,737,072.30/12,311.72
  6. Step 6: Final answer
    x = 16,466.99

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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.