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Finding the Fourth Proportional to 16,217.44, 22,380.10 and 9,143.84

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Solution

The fourth proportional to 16,217.44, 22,380.10 and 9,143.84 is: 12,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.44 : 22,380.10 = 9,143.84 : x
  2. Step 2: Convert to fraction form
    16,217.44/22,380.10 = 9,143.84/x
  3. Step 3: Cross multiply
    16,217.44x = 22,380.10 × 9,143.84
  4. Step 4: Simplify right side
    16,217.44x = 204,640,053.58
  5. Step 5: Solve for x
    x = 204,640,053.58/16,217.44
  6. Step 6: Final answer
    x = 12,618.52

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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.