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Finding the Fourth Proportional to 16,238.82, 22,406.85 and 9,163.20

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Solution

The fourth proportional to 16,238.82, 22,406.85 and 9,163.20 is: 12,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.82 : 22,406.85 = 9,163.20 : x
  2. Step 2: Convert to fraction form
    16,238.82/22,406.85 = 9,163.20/x
  3. Step 3: Cross multiply
    16,238.82x = 22,406.85 × 9,163.20
  4. Step 4: Simplify right side
    16,238.82x = 205,318,447.92
  5. Step 5: Solve for x
    x = 205,318,447.92/16,238.82
  6. Step 6: Final answer
    x = 12,643.68

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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.