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Finding the Fourth Proportional to 21,640.14, 29,858.22 and 12,208.73

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Solution

The fourth proportional to 21,640.14, 29,858.22 and 12,208.73 is: 16,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.14 : 29,858.22 = 12,208.73 : x
  2. Step 2: Convert to fraction form
    21,640.14/29,858.22 = 12,208.73/x
  3. Step 3: Cross multiply
    21,640.14x = 29,858.22 × 12,208.73
  4. Step 4: Simplify right side
    21,640.14x = 364,530,796.97
  5. Step 5: Solve for x
    x = 364,530,796.97/21,640.14
  6. Step 6: Final answer
    x = 16,845.12

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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.