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Finding the Fourth Proportional to 22,134.20, 33,201.29 and 8,096.09

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Solution

The fourth proportional to 22,134.20, 33,201.29 and 8,096.09 is: 12,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134.20 : 33,201.29 = 8,096.09 : x
  2. Step 2: Convert to fraction form
    22,134.20/33,201.29 = 8,096.09/x
  3. Step 3: Cross multiply
    22,134.20x = 33,201.29 × 8,096.09
  4. Step 4: Simplify right side
    22,134.20x = 268,800,486.19
  5. Step 5: Solve for x
    x = 268,800,486.19/22,134.20
  6. Step 6: Final answer
    x = 12,144.13

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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.