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Finding the Fourth Proportional to 17,265.41, 25,892.24 and 6,734.60

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Solution

The fourth proportional to 17,265.41, 25,892.24 and 6,734.60 is: 10,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,265.41 : 25,892.24 = 6,734.60 : x
  2. Step 2: Convert to fraction form
    17,265.41/25,892.24 = 6,734.60/x
  3. Step 3: Cross multiply
    17,265.41x = 25,892.24 × 6,734.60
  4. Step 4: Simplify right side
    17,265.41x = 174,373,879.50
  5. Step 5: Solve for x
    x = 174,373,879.50/17,265.41
  6. Step 6: Final answer
    x = 10,099.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.