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Finding the Fourth Proportional to 16,584.53, 24,843.44 and 8,239.28

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Solution

The fourth proportional to 16,584.53, 24,843.44 and 8,239.28 is: 12,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.53 : 24,843.44 = 8,239.28 : x
  2. Step 2: Convert to fraction form
    16,584.53/24,843.44 = 8,239.28/x
  3. Step 3: Cross multiply
    16,584.53x = 24,843.44 × 8,239.28
  4. Step 4: Simplify right side
    16,584.53x = 204,691,954.70
  5. Step 5: Solve for x
    x = 204,691,954.70/16,584.53
  6. Step 6: Final answer
    x = 12,342.35

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Why These Related Problems?

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