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Finding the Fourth Proportional to 22,694.94, 34,047.30 and 9,539.73

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Solution

The fourth proportional to 22,694.94, 34,047.30 and 9,539.73 is: 14,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694.94 : 34,047.30 = 9,539.73 : x
  2. Step 2: Convert to fraction form
    22,694.94/34,047.30 = 9,539.73/x
  3. Step 3: Cross multiply
    22,694.94x = 34,047.30 × 9,539.73
  4. Step 4: Simplify right side
    22,694.94x = 324,802,049.23
  5. Step 5: Solve for x
    x = 324,802,049.23/22,694.94
  6. Step 6: Final answer
    x = 14,311.65

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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.