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Finding the Fourth Proportional to 16,093.73, 22,209.38 and 9,020.15

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Solution

The fourth proportional to 16,093.73, 22,209.38 and 9,020.15 is: 12,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.73 : 22,209.38 = 9,020.15 : x
  2. Step 2: Convert to fraction form
    16,093.73/22,209.38 = 9,020.15/x
  3. Step 3: Cross multiply
    16,093.73x = 22,209.38 × 9,020.15
  4. Step 4: Simplify right side
    16,093.73x = 200,331,856.05
  5. Step 5: Solve for x
    x = 200,331,856.05/16,093.73
  6. Step 6: Final answer
    x = 12,447.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.