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Finding the Fourth Proportional to 12,256.25, 16,912.67 and 6,951.96

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Solution

The fourth proportional to 12,256.25, 16,912.67 and 6,951.96 is: 9,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.25 : 16,912.67 = 6,951.96 : x
  2. Step 2: Convert to fraction form
    12,256.25/16,912.67 = 6,951.96/x
  3. Step 3: Cross multiply
    12,256.25x = 16,912.67 × 6,951.96
  4. Step 4: Simplify right side
    12,256.25x = 117,576,170.57
  5. Step 5: Solve for x
    x = 117,576,170.57/12,256.25
  6. Step 6: Final answer
    x = 9,593.16

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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.