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Finding the Fourth Proportional to 12,241.65, 16,889.76 and 6,863.52

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Solution

The fourth proportional to 12,241.65, 16,889.76 and 6,863.52 is: 9,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.65 : 16,889.76 = 6,863.52 : x
  2. Step 2: Convert to fraction form
    12,241.65/16,889.76 = 6,863.52/x
  3. Step 3: Cross multiply
    12,241.65x = 16,889.76 × 6,863.52
  4. Step 4: Simplify right side
    12,241.65x = 115,923,205.56
  5. Step 5: Solve for x
    x = 115,923,205.56/12,241.65
  6. Step 6: Final answer
    x = 9,469.57

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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.