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Finding the Fourth Proportional to 16,238.72, 24,338.46 and 7,906.24

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Solution

The fourth proportional to 16,238.72, 24,338.46 and 7,906.24 is: 11,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.72 : 24,338.46 = 7,906.24 : x
  2. Step 2: Convert to fraction form
    16,238.72/24,338.46 = 7,906.24/x
  3. Step 3: Cross multiply
    16,238.72x = 24,338.46 × 7,906.24
  4. Step 4: Simplify right side
    16,238.72x = 192,425,705.99
  5. Step 5: Solve for x
    x = 192,425,705.99/16,238.72
  6. Step 6: Final answer
    x = 11,849.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.