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Finding the Fourth Proportional to 27,322.67, 40,991.84 and 9,793.73

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Solution

The fourth proportional to 27,322.67, 40,991.84 and 9,793.73 is: 14,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.67 : 40,991.84 = 9,793.73 : x
  2. Step 2: Convert to fraction form
    27,322.67/40,991.84 = 9,793.73/x
  3. Step 3: Cross multiply
    27,322.67x = 40,991.84 × 9,793.73
  4. Step 4: Simplify right side
    27,322.67x = 401,463,103.40
  5. Step 5: Solve for x
    x = 401,463,103.40/27,322.67
  6. Step 6: Final answer
    x = 14,693.41

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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.