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Finding the Fourth Proportional to 12,644.40, 17,446.68 and 10,282.44

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Solution

The fourth proportional to 12,644.40, 17,446.68 and 10,282.44 is: 14,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.40 : 17,446.68 = 10,282.44 : x
  2. Step 2: Convert to fraction form
    12,644.40/17,446.68 = 10,282.44/x
  3. Step 3: Cross multiply
    12,644.40x = 17,446.68 × 10,282.44
  4. Step 4: Simplify right side
    12,644.40x = 179,394,440.30
  5. Step 5: Solve for x
    x = 179,394,440.30/12,644.40
  6. Step 6: Final answer
    x = 14,187.66

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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.