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Finding the Fourth Proportional to 69,414.89, 104,122.34 and 16,824.38

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Solution

The fourth proportional to 69,414.89, 104,122.34 and 16,824.38 is: 25,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,414.89 : 104,122.34 = 16,824.38 : x
  2. Step 2: Convert to fraction form
    69,414.89/104,122.34 = 16,824.38/x
  3. Step 3: Cross multiply
    69,414.89x = 104,122.34 × 16,824.38
  4. Step 4: Simplify right side
    69,414.89x = 1,751,793,209.92
  5. Step 5: Solve for x
    x = 1,751,793,209.92/69,414.89
  6. Step 6: Final answer
    x = 25,236.56

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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.