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Finding the Fourth Proportional to 22,209.39, 33,324.41 and 9,727.80

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Solution

The fourth proportional to 22,209.39, 33,324.41 and 9,727.80 is: 14,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.39 : 33,324.41 = 9,727.80 : x
  2. Step 2: Convert to fraction form
    22,209.39/33,324.41 = 9,727.80/x
  3. Step 3: Cross multiply
    22,209.39x = 33,324.41 × 9,727.80
  4. Step 4: Simplify right side
    22,209.39x = 324,173,094.95
  5. Step 5: Solve for x
    x = 324,173,094.95/22,209.39
  6. Step 6: Final answer
    x = 14,596.22

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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.