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Finding the Fourth Proportional to 12,002.28, 16,563.22 and 6,696.80

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Solution

The fourth proportional to 12,002.28, 16,563.22 and 6,696.80 is: 9,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.28 : 16,563.22 = 6,696.80 : x
  2. Step 2: Convert to fraction form
    12,002.28/16,563.22 = 6,696.80/x
  3. Step 3: Cross multiply
    12,002.28x = 16,563.22 × 6,696.80
  4. Step 4: Simplify right side
    12,002.28x = 110,920,571.70
  5. Step 5: Solve for x
    x = 110,920,571.70/12,002.28
  6. Step 6: Final answer
    x = 9,241.63

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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.