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Finding the Fourth Proportional to 12,644.44, 18,940.20 and 10,165.84

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Solution

The fourth proportional to 12,644.44, 18,940.20 and 10,165.84 is: 15,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.44 : 18,940.20 = 10,165.84 : x
  2. Step 2: Convert to fraction form
    12,644.44/18,940.20 = 10,165.84/x
  3. Step 3: Cross multiply
    12,644.44x = 18,940.20 × 10,165.84
  4. Step 4: Simplify right side
    12,644.44x = 192,543,042.77
  5. Step 5: Solve for x
    x = 192,543,042.77/12,644.44
  6. Step 6: Final answer
    x = 15,227.49

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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.