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Finding the Fourth Proportional to 16,238.94, 22,414.41 and 9,524.85

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Solution

The fourth proportional to 16,238.94, 22,414.41 and 9,524.85 is: 13,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.94 : 22,414.41 = 9,524.85 : x
  2. Step 2: Convert to fraction form
    16,238.94/22,414.41 = 9,524.85/x
  3. Step 3: Cross multiply
    16,238.94x = 22,414.41 × 9,524.85
  4. Step 4: Simplify right side
    16,238.94x = 213,493,893.09
  5. Step 5: Solve for x
    x = 213,493,893.09/16,238.94
  6. Step 6: Final answer
    x = 13,147.03

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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.