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Finding the Fourth Proportional to 27,381.85, 41,077.01 and 11,586.97

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Solution

The fourth proportional to 27,381.85, 41,077.01 and 11,586.97 is: 17,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381.85 : 41,077.01 = 11,586.97 : x
  2. Step 2: Convert to fraction form
    27,381.85/41,077.01 = 11,586.97/x
  3. Step 3: Cross multiply
    27,381.85x = 41,077.01 × 11,586.97
  4. Step 4: Simplify right side
    27,381.85x = 475,958,082.56
  5. Step 5: Solve for x
    x = 475,958,082.56/27,381.85
  6. Step 6: Final answer
    x = 17,382.25

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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.