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Finding the Fourth Proportional to 16,249.82, 22,434.41 and 10,286.60

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Solution

The fourth proportional to 16,249.82, 22,434.41 and 10,286.60 is: 14,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.82 : 22,434.41 = 10,286.60 : x
  2. Step 2: Convert to fraction form
    16,249.82/22,434.41 = 10,286.60/x
  3. Step 3: Cross multiply
    16,249.82x = 22,434.41 × 10,286.60
  4. Step 4: Simplify right side
    16,249.82x = 230,773,715.45
  5. Step 5: Solve for x
    x = 230,773,715.45/16,249.82
  6. Step 6: Final answer
    x = 14,201.62

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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.