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Finding the Fourth Proportional to 27,169.29, 40,754.21 and 7,447.84

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Solution

The fourth proportional to 27,169.29, 40,754.21 and 7,447.84 is: 11,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,169.29 : 40,754.21 = 7,447.84 : x
  2. Step 2: Convert to fraction form
    27,169.29/40,754.21 = 7,447.84/x
  3. Step 3: Cross multiply
    27,169.29x = 40,754.21 × 7,447.84
  4. Step 4: Simplify right side
    27,169.29x = 303,530,937.29
  5. Step 5: Solve for x
    x = 303,530,937.29/27,169.29
  6. Step 6: Final answer
    x = 11,171.84

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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.