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Finding the Fourth Proportional to 12,584.43, 18,891.22 and 6,752.43

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Solution

The fourth proportional to 12,584.43, 18,891.22 and 6,752.43 is: 10,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.43 : 18,891.22 = 6,752.43 : x
  2. Step 2: Convert to fraction form
    12,584.43/18,891.22 = 6,752.43/x
  3. Step 3: Cross multiply
    12,584.43x = 18,891.22 × 6,752.43
  4. Step 4: Simplify right side
    12,584.43x = 127,561,640.66
  5. Step 5: Solve for x
    x = 127,561,640.66/12,584.43
  6. Step 6: Final answer
    x = 10,136.47

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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.