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Finding the Fourth Proportional to 12,204, 16,828.94 and 10,441.44

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Solution

The fourth proportional to 12,204, 16,828.94 and 10,441.44 is: 14,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204 : 16,828.94 = 10,441.44 : x
  2. Step 2: Convert to fraction form
    12,204/16,828.94 = 10,441.44/x
  3. Step 3: Cross multiply
    12,204x = 16,828.94 × 10,441.44
  4. Step 4: Simplify right side
    12,204x = 175,718,367.27
  5. Step 5: Solve for x
    x = 175,718,367.27/12,204
  6. Step 6: Final answer
    x = 14,398.42

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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.