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Finding the Fourth Proportional to 12,232.80, 16,872.72 and 7,696.80

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Solution

The fourth proportional to 12,232.80, 16,872.72 and 7,696.80 is: 10,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.80 : 16,872.72 = 7,696.80 : x
  2. Step 2: Convert to fraction form
    12,232.80/16,872.72 = 7,696.80/x
  3. Step 3: Cross multiply
    12,232.80x = 16,872.72 × 7,696.80
  4. Step 4: Simplify right side
    12,232.80x = 129,865,951.30
  5. Step 5: Solve for x
    x = 129,865,951.30/12,232.80
  6. Step 6: Final answer
    x = 10,616.21

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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.