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Finding the Fourth Proportional to 16,223.94, 22,382.46 and 11,450.82

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Solution

The fourth proportional to 16,223.94, 22,382.46 and 11,450.82 is: 15,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.94 : 22,382.46 = 11,450.82 : x
  2. Step 2: Convert to fraction form
    16,223.94/22,382.46 = 11,450.82/x
  3. Step 3: Cross multiply
    16,223.94x = 22,382.46 × 11,450.82
  4. Step 4: Simplify right side
    16,223.94x = 256,297,520.62
  5. Step 5: Solve for x
    x = 256,297,520.62/16,223.94
  6. Step 6: Final answer
    x = 15,797.49

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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.