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Finding the Fourth Proportional to 22,644.72, 33,960.60 and 7,849.80

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Solution

The fourth proportional to 22,644.72, 33,960.60 and 7,849.80 is: 11,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.72 : 33,960.60 = 7,849.80 : x
  2. Step 2: Convert to fraction form
    22,644.72/33,960.60 = 7,849.80/x
  3. Step 3: Cross multiply
    22,644.72x = 33,960.60 × 7,849.80
  4. Step 4: Simplify right side
    22,644.72x = 266,583,917.88
  5. Step 5: Solve for x
    x = 266,583,917.88/22,644.72
  6. Step 6: Final answer
    x = 11,772.45

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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.