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Finding the Fourth Proportional to 22,777.69, 34,171.49 and 6,982.78

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Solution

The fourth proportional to 22,777.69, 34,171.49 and 6,982.78 is: 10,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.69 : 34,171.49 = 6,982.78 : x
  2. Step 2: Convert to fraction form
    22,777.69/34,171.49 = 6,982.78/x
  3. Step 3: Cross multiply
    22,777.69x = 34,171.49 × 6,982.78
  4. Step 4: Simplify right side
    22,777.69x = 238,611,996.94
  5. Step 5: Solve for x
    x = 238,611,996.94/22,777.69
  6. Step 6: Final answer
    x = 10,475.69

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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.