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Finding the Fourth Proportional to 18,205.92, 27,314.28 and 11,098.44

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Solution

The fourth proportional to 18,205.92, 27,314.28 and 11,098.44 is: 16,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.92 : 27,314.28 = 11,098.44 : x
  2. Step 2: Convert to fraction form
    18,205.92/27,314.28 = 11,098.44/x
  3. Step 3: Cross multiply
    18,205.92x = 27,314.28 × 11,098.44
  4. Step 4: Simplify right side
    18,205.92x = 303,145,897.72
  5. Step 5: Solve for x
    x = 303,145,897.72/18,205.92
  6. Step 6: Final answer
    x = 16,650.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.