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Finding the Fourth Proportional to 22,912.70, 34,367.78 and 6,271.55

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Solution

The fourth proportional to 22,912.70, 34,367.78 and 6,271.55 is: 9,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912.70 : 34,367.78 = 6,271.55 : x
  2. Step 2: Convert to fraction form
    22,912.70/34,367.78 = 6,271.55/x
  3. Step 3: Cross multiply
    22,912.70x = 34,367.78 × 6,271.55
  4. Step 4: Simplify right side
    22,912.70x = 215,539,078.82
  5. Step 5: Solve for x
    x = 215,539,078.82/22,912.70
  6. Step 6: Final answer
    x = 9,406.97

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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.