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Finding the Fourth Proportional to 22,638.90, 33,958.36 and 7,847.82

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Solution

The fourth proportional to 22,638.90, 33,958.36 and 7,847.82 is: 11,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.90 : 33,958.36 = 7,847.82 : x
  2. Step 2: Convert to fraction form
    22,638.90/33,958.36 = 7,847.82/x
  3. Step 3: Cross multiply
    22,638.90x = 33,958.36 × 7,847.82
  4. Step 4: Simplify right side
    22,638.90x = 266,499,096.78
  5. Step 5: Solve for x
    x = 266,499,096.78/22,638.90
  6. Step 6: Final answer
    x = 11,771.73

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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.