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Finding the Fourth Proportional to 16,033.44, 22,126 and 8,863.84

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Solution

The fourth proportional to 16,033.44, 22,126 and 8,863.84 is: 12,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.44 : 22,126 = 8,863.84 : x
  2. Step 2: Convert to fraction form
    16,033.44/22,126 = 8,863.84/x
  3. Step 3: Cross multiply
    16,033.44x = 22,126 × 8,863.84
  4. Step 4: Simplify right side
    16,033.44x = 196,121,323.84
  5. Step 5: Solve for x
    x = 196,121,323.84/16,033.44
  6. Step 6: Final answer
    x = 12,232.02

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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.