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Finding the Fourth Proportional to 11,683.20, 17,499.84 and 10,872.96

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Solution

The fourth proportional to 11,683.20, 17,499.84 and 10,872.96 is: 16,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.20 : 17,499.84 = 10,872.96 : x
  2. Step 2: Convert to fraction form
    11,683.20/17,499.84 = 10,872.96/x
  3. Step 3: Cross multiply
    11,683.20x = 17,499.84 × 10,872.96
  4. Step 4: Simplify right side
    11,683.20x = 190,275,060.33
  5. Step 5: Solve for x
    x = 190,275,060.33/11,683.20
  6. Step 6: Final answer
    x = 16,286.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.