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Finding the Fourth Proportional to 17,280.92, 25,923 and 10,399.16

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Solution

The fourth proportional to 17,280.92, 25,923 and 10,399.16 is: 15,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280.92 : 25,923 = 10,399.16 : x
  2. Step 2: Convert to fraction form
    17,280.92/25,923 = 10,399.16/x
  3. Step 3: Cross multiply
    17,280.92x = 25,923 × 10,399.16
  4. Step 4: Simplify right side
    17,280.92x = 269,577,424.68
  5. Step 5: Solve for x
    x = 269,577,424.68/17,280.92
  6. Step 6: Final answer
    x = 15,599.71

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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.