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Finding the Fourth Proportional to 23,957.28, 35,940.94 and 8,161.07

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Solution

The fourth proportional to 23,957.28, 35,940.94 and 8,161.07 is: 12,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.28 : 35,940.94 = 8,161.07 : x
  2. Step 2: Convert to fraction form
    23,957.28/35,940.94 = 8,161.07/x
  3. Step 3: Cross multiply
    23,957.28x = 35,940.94 × 8,161.07
  4. Step 4: Simplify right side
    23,957.28x = 293,316,527.21
  5. Step 5: Solve for x
    x = 293,316,527.21/23,957.28
  6. Step 6: Final answer
    x = 12,243.32

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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.