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Finding the Fourth Proportional to 22,324.21, 33,462.72 and 8,083.19

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Solution

The fourth proportional to 22,324.21, 33,462.72 and 8,083.19 is: 12,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324.21 : 33,462.72 = 8,083.19 : x
  2. Step 2: Convert to fraction form
    22,324.21/33,462.72 = 8,083.19/x
  3. Step 3: Cross multiply
    22,324.21x = 33,462.72 × 8,083.19
  4. Step 4: Simplify right side
    22,324.21x = 270,485,607.33
  5. Step 5: Solve for x
    x = 270,485,607.33/22,324.21
  6. Step 6: Final answer
    x = 12,116.25

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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.