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Finding the Fourth Proportional to 22,644.69, 33,956.11 and 9,493.53

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Solution

The fourth proportional to 22,644.69, 33,956.11 and 9,493.53 is: 14,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.69 : 33,956.11 = 9,493.53 : x
  2. Step 2: Convert to fraction form
    22,644.69/33,956.11 = 9,493.53/x
  3. Step 3: Cross multiply
    22,644.69x = 33,956.11 × 9,493.53
  4. Step 4: Simplify right side
    22,644.69x = 322,363,348.97
  5. Step 5: Solve for x
    x = 322,363,348.97/22,644.69
  6. Step 6: Final answer
    x = 14,235.71

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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.