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Finding the Fourth Proportional to 16,114.82, 22,227.24 and 11,344.70

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Solution

The fourth proportional to 16,114.82, 22,227.24 and 11,344.70 is: 15,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.82 : 22,227.24 = 11,344.70 : x
  2. Step 2: Convert to fraction form
    16,114.82/22,227.24 = 11,344.70/x
  3. Step 3: Cross multiply
    16,114.82x = 22,227.24 × 11,344.70
  4. Step 4: Simplify right side
    16,114.82x = 252,161,369.63
  5. Step 5: Solve for x
    x = 252,161,369.63/16,114.82
  6. Step 6: Final answer
    x = 15,647.79

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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.