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Finding the Fourth Proportional to 18,205.20, 27,264.60 and 11,206.80

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Solution

The fourth proportional to 18,205.20, 27,264.60 and 11,206.80 is: 16,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.20 : 27,264.60 = 11,206.80 : x
  2. Step 2: Convert to fraction form
    18,205.20/27,264.60 = 11,206.80/x
  3. Step 3: Cross multiply
    18,205.20x = 27,264.60 × 11,206.80
  4. Step 4: Simplify right side
    18,205.20x = 305,548,919.28
  5. Step 5: Solve for x
    x = 305,548,919.28/18,205.20
  6. Step 6: Final answer
    x = 16,783.61

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