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Finding the Fourth Proportional to 23,193.75, 34,744.55 and 11,471.19

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Solution

The fourth proportional to 23,193.75, 34,744.55 and 11,471.19 is: 17,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.75 : 34,744.55 = 11,471.19 : x
  2. Step 2: Convert to fraction form
    23,193.75/34,744.55 = 11,471.19/x
  3. Step 3: Cross multiply
    23,193.75x = 34,744.55 × 11,471.19
  4. Step 4: Simplify right side
    23,193.75x = 398,561,277.16
  5. Step 5: Solve for x
    x = 398,561,277.16/23,193.75
  6. Step 6: Final answer
    x = 17,183.99

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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.