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Finding the Fourth Proportional to 22,162.10, 33,233.42 and 8,301.38

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Solution

The fourth proportional to 22,162.10, 33,233.42 and 8,301.38 is: 12,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162.10 : 33,233.42 = 8,301.38 : x
  2. Step 2: Convert to fraction form
    22,162.10/33,233.42 = 8,301.38/x
  3. Step 3: Cross multiply
    22,162.10x = 33,233.42 × 8,301.38
  4. Step 4: Simplify right side
    22,162.10x = 275,883,040.45
  5. Step 5: Solve for x
    x = 275,883,040.45/22,162.10
  6. Step 6: Final answer
    x = 12,448.42

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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.