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Finding the Fourth Proportional to 22,912.14, 34,373.67 and 8,122.35

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Solution

The fourth proportional to 22,912.14, 34,373.67 and 8,122.35 is: 12,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912.14 : 34,373.67 = 8,122.35 : x
  2. Step 2: Convert to fraction form
    22,912.14/34,373.67 = 8,122.35/x
  3. Step 3: Cross multiply
    22,912.14x = 34,373.67 × 8,122.35
  4. Step 4: Simplify right side
    22,912.14x = 279,194,978.52
  5. Step 5: Solve for x
    x = 279,194,978.52/22,912.14
  6. Step 6: Final answer
    x = 12,185.46

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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.