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Finding the Fourth Proportional to 22,206.06, 33,315.12 and 9,727.20

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Solution

The fourth proportional to 22,206.06, 33,315.12 and 9,727.20 is: 14,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.06 : 33,315.12 = 9,727.20 : x
  2. Step 2: Convert to fraction form
    22,206.06/33,315.12 = 9,727.20/x
  3. Step 3: Cross multiply
    22,206.06x = 33,315.12 × 9,727.20
  4. Step 4: Simplify right side
    22,206.06x = 324,062,835.26
  5. Step 5: Solve for x
    x = 324,062,835.26/22,206.06
  6. Step 6: Final answer
    x = 14,593.44

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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.