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Finding the Fourth Proportional to 13,383.75, 18,471.60 and 7,794.75

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Solution

The fourth proportional to 13,383.75, 18,471.60 and 7,794.75 is: 10,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.75 : 18,471.60 = 7,794.75 : x
  2. Step 2: Convert to fraction form
    13,383.75/18,471.60 = 7,794.75/x
  3. Step 3: Cross multiply
    13,383.75x = 18,471.60 × 7,794.75
  4. Step 4: Simplify right side
    13,383.75x = 143,981,504.10
  5. Step 5: Solve for x
    x = 143,981,504.10/13,383.75
  6. Step 6: Final answer
    x = 10,757.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.