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Finding the Fourth Proportional to 27,379.99, 41,074.43 and 10,731

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Solution

The fourth proportional to 27,379.99, 41,074.43 and 10,731 is: 16,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,379.99 : 41,074.43 = 10,731 : x
  2. Step 2: Convert to fraction form
    27,379.99/41,074.43 = 10,731/x
  3. Step 3: Cross multiply
    27,379.99x = 41,074.43 × 10,731
  4. Step 4: Simplify right side
    27,379.99x = 440,769,708.33
  5. Step 5: Solve for x
    x = 440,769,708.33/27,379.99
  6. Step 6: Final answer
    x = 16,098.24

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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.