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Finding the Fourth Proportional to 22,906.46, 34,348.44 and 8,113.26

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Solution

The fourth proportional to 22,906.46, 34,348.44 and 8,113.26 is: 12,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.46 : 34,348.44 = 8,113.26 : x
  2. Step 2: Convert to fraction form
    22,906.46/34,348.44 = 8,113.26/x
  3. Step 3: Cross multiply
    22,906.46x = 34,348.44 × 8,113.26
  4. Step 4: Simplify right side
    22,906.46x = 278,677,824.31
  5. Step 5: Solve for x
    x = 278,677,824.31/22,906.46
  6. Step 6: Final answer
    x = 12,165.91

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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.