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Finding the Fourth Proportional to 16,163.75, 22,320 and 11,922.17

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Solution

The fourth proportional to 16,163.75, 22,320 and 11,922.17 is: 16,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.75 : 22,320 = 11,922.17 : x
  2. Step 2: Convert to fraction form
    16,163.75/22,320 = 11,922.17/x
  3. Step 3: Cross multiply
    16,163.75x = 22,320 × 11,922.17
  4. Step 4: Simplify right side
    16,163.75x = 266,102,722.80
  5. Step 5: Solve for x
    x = 266,102,722.80/16,163.75
  6. Step 6: Final answer
    x = 16,462.94

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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.