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Finding the Fourth Proportional to 16,231.56, 22,400.34 and 9,944.28

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Solution

The fourth proportional to 16,231.56, 22,400.34 and 9,944.28 is: 13,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.56 : 22,400.34 = 9,944.28 : x
  2. Step 2: Convert to fraction form
    16,231.56/22,400.34 = 9,944.28/x
  3. Step 3: Cross multiply
    16,231.56x = 22,400.34 × 9,944.28
  4. Step 4: Simplify right side
    16,231.56x = 222,755,253.06
  5. Step 5: Solve for x
    x = 222,755,253.06/16,231.56
  6. Step 6: Final answer
    x = 13,723.59

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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.