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Finding the Fourth Proportional to 17,268.70, 25,896.54 and 5,578.78

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Solution

The fourth proportional to 17,268.70, 25,896.54 and 5,578.78 is: 8,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268.70 : 25,896.54 = 5,578.78 : x
  2. Step 2: Convert to fraction form
    17,268.70/25,896.54 = 5,578.78/x
  3. Step 3: Cross multiply
    17,268.70x = 25,896.54 × 5,578.78
  4. Step 4: Simplify right side
    17,268.70x = 144,471,099.42
  5. Step 5: Solve for x
    x = 144,471,099.42/17,268.70
  6. Step 6: Final answer
    x = 8,366.07

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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.