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Finding the Fourth Proportional to 22,908.07, 34,365.84 and 8,113.78

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Solution

The fourth proportional to 22,908.07, 34,365.84 and 8,113.78 is: 12,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,908.07 : 34,365.84 = 8,113.78 : x
  2. Step 2: Convert to fraction form
    22,908.07/34,365.84 = 8,113.78/x
  3. Step 3: Cross multiply
    22,908.07x = 34,365.84 × 8,113.78
  4. Step 4: Simplify right side
    22,908.07x = 278,836,865.28
  5. Step 5: Solve for x
    x = 278,836,865.28/22,908.07
  6. Step 6: Final answer
    x = 12,171.99

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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.