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Finding the Fourth Proportional to 22,771.71, 34,163.12 and 8,731.49

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Solution

The fourth proportional to 22,771.71, 34,163.12 and 8,731.49 is: 13,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.71 : 34,163.12 = 8,731.49 : x
  2. Step 2: Convert to fraction form
    22,771.71/34,163.12 = 8,731.49/x
  3. Step 3: Cross multiply
    22,771.71x = 34,163.12 × 8,731.49
  4. Step 4: Simplify right side
    22,771.71x = 298,294,791.66
  5. Step 5: Solve for x
    x = 298,294,791.66/22,771.71
  6. Step 6: Final answer
    x = 13,099.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.