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Finding the Fourth Proportional to 27,243.27, 40,861.83 and 7,524.63

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Solution

The fourth proportional to 27,243.27, 40,861.83 and 7,524.63 is: 11,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243.27 : 40,861.83 = 7,524.63 : x
  2. Step 2: Convert to fraction form
    27,243.27/40,861.83 = 7,524.63/x
  3. Step 3: Cross multiply
    27,243.27x = 40,861.83 × 7,524.63
  4. Step 4: Simplify right side
    27,243.27x = 307,470,151.87
  5. Step 5: Solve for x
    x = 307,470,151.87/27,243.27
  6. Step 6: Final answer
    x = 11,286.10

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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.