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Finding the Fourth Proportional to 27,361.87, 41,022.30 and 11,585.40

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Solution

The fourth proportional to 27,361.87, 41,022.30 and 11,585.40 is: 17,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,361.87 : 41,022.30 = 11,585.40 : x
  2. Step 2: Convert to fraction form
    27,361.87/41,022.30 = 11,585.40/x
  3. Step 3: Cross multiply
    27,361.87x = 41,022.30 × 11,585.40
  4. Step 4: Simplify right side
    27,361.87x = 475,259,754.42
  5. Step 5: Solve for x
    x = 475,259,754.42/27,361.87
  6. Step 6: Final answer
    x = 17,369.42

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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.