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Finding the Fourth Proportional to 23,940.16, 35,912.56 and 8,156.32

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Solution

The fourth proportional to 23,940.16, 35,912.56 and 8,156.32 is: 12,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,940.16 : 35,912.56 = 8,156.32 : x
  2. Step 2: Convert to fraction form
    23,940.16/35,912.56 = 8,156.32/x
  3. Step 3: Cross multiply
    23,940.16x = 35,912.56 × 8,156.32
  4. Step 4: Simplify right side
    23,940.16x = 292,914,331.38
  5. Step 5: Solve for x
    x = 292,914,331.38/23,940.16
  6. Step 6: Final answer
    x = 12,235.27

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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.