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Finding the Fourth Proportional to 23,924.75, 35,863.84 and 11,441.54

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Solution

The fourth proportional to 23,924.75, 35,863.84 and 11,441.54 is: 17,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924.75 : 35,863.84 = 11,441.54 : x
  2. Step 2: Convert to fraction form
    23,924.75/35,863.84 = 11,441.54/x
  3. Step 3: Cross multiply
    23,924.75x = 35,863.84 × 11,441.54
  4. Step 4: Simplify right side
    23,924.75x = 410,337,559.91
  5. Step 5: Solve for x
    x = 410,337,559.91/23,924.75
  6. Step 6: Final answer
    x = 17,151.17

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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.