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Finding the Fourth Proportional to 12,188.20, 16,817.64 and 6,882.40

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Solution

The fourth proportional to 12,188.20, 16,817.64 and 6,882.40 is: 9,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.20 : 16,817.64 = 6,882.40 : x
  2. Step 2: Convert to fraction form
    12,188.20/16,817.64 = 6,882.40/x
  3. Step 3: Cross multiply
    12,188.20x = 16,817.64 × 6,882.40
  4. Step 4: Simplify right side
    12,188.20x = 115,745,725.54
  5. Step 5: Solve for x
    x = 115,745,725.54/12,188.20
  6. Step 6: Final answer
    x = 9,496.54

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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.