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Finding the Fourth Proportional to 23,816, 35,724.81 and 9,584.30

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Solution

The fourth proportional to 23,816, 35,724.81 and 9,584.30 is: 14,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816 : 35,724.81 = 9,584.30 : x
  2. Step 2: Convert to fraction form
    23,816/35,724.81 = 9,584.30/x
  3. Step 3: Cross multiply
    23,816x = 35,724.81 × 9,584.30
  4. Step 4: Simplify right side
    23,816x = 342,397,296.48
  5. Step 5: Solve for x
    x = 342,397,296.48/23,816
  6. Step 6: Final answer
    x = 14,376.78

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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.