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Finding the Fourth Proportional to 16,236.28, 22,405.86 and 9,949

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Solution

The fourth proportional to 16,236.28, 22,405.86 and 9,949 is: 13,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236.28 : 22,405.86 = 9,949 : x
  2. Step 2: Convert to fraction form
    16,236.28/22,405.86 = 9,949/x
  3. Step 3: Cross multiply
    16,236.28x = 22,405.86 × 9,949
  4. Step 4: Simplify right side
    16,236.28x = 222,915,901.14
  5. Step 5: Solve for x
    x = 222,915,901.14/16,236.28
  6. Step 6: Final answer
    x = 13,729.49

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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.