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Finding the Fourth Proportional to 16,414.47, 22,644.22 and 11,936.25

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Solution

The fourth proportional to 16,414.47, 22,644.22 and 11,936.25 is: 16,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.47 : 22,644.22 = 11,936.25 : x
  2. Step 2: Convert to fraction form
    16,414.47/22,644.22 = 11,936.25/x
  3. Step 3: Cross multiply
    16,414.47x = 22,644.22 × 11,936.25
  4. Step 4: Simplify right side
    16,414.47x = 270,287,070.98
  5. Step 5: Solve for x
    x = 270,287,070.98/16,414.47
  6. Step 6: Final answer
    x = 16,466.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.