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Finding the Fourth Proportional to 20,825.92, 31,251.12 and 7,679.32

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Solution

The fourth proportional to 20,825.92, 31,251.12 and 7,679.32 is: 11,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.92 : 31,251.12 = 7,679.32 : x
  2. Step 2: Convert to fraction form
    20,825.92/31,251.12 = 7,679.32/x
  3. Step 3: Cross multiply
    20,825.92x = 31,251.12 × 7,679.32
  4. Step 4: Simplify right side
    20,825.92x = 239,987,350.84
  5. Step 5: Solve for x
    x = 239,987,350.84/20,825.92
  6. Step 6: Final answer
    x = 11,523.49

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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.