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Finding the Fourth Proportional to 12,206.22, 16,843.44 and 9,021.42

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Solution

The fourth proportional to 12,206.22, 16,843.44 and 9,021.42 is: 12,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.22 : 16,843.44 = 9,021.42 : x
  2. Step 2: Convert to fraction form
    12,206.22/16,843.44 = 9,021.42/x
  3. Step 3: Cross multiply
    12,206.22x = 16,843.44 × 9,021.42
  4. Step 4: Simplify right side
    12,206.22x = 151,951,746.48
  5. Step 5: Solve for x
    x = 151,951,746.48/12,206.22
  6. Step 6: Final answer
    x = 12,448.71

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