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Finding the Fourth Proportional to 22,906.37, 34,353.15 and 8,111.31

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Solution

The fourth proportional to 22,906.37, 34,353.15 and 8,111.31 is: 12,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.37 : 34,353.15 = 8,111.31 : x
  2. Step 2: Convert to fraction form
    22,906.37/34,353.15 = 8,111.31/x
  3. Step 3: Cross multiply
    22,906.37x = 34,353.15 × 8,111.31
  4. Step 4: Simplify right side
    22,906.37x = 278,649,049.13
  5. Step 5: Solve for x
    x = 278,649,049.13/22,906.37
  6. Step 6: Final answer
    x = 12,164.70

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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.