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Finding the Fourth Proportional to 20,546.46, 30,825.36 and 7,398.54

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Solution

The fourth proportional to 20,546.46, 30,825.36 and 7,398.54 is: 11,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.46 : 30,825.36 = 7,398.54 : x
  2. Step 2: Convert to fraction form
    20,546.46/30,825.36 = 7,398.54/x
  3. Step 3: Cross multiply
    20,546.46x = 30,825.36 × 7,398.54
  4. Step 4: Simplify right side
    20,546.46x = 228,062,658.97
  5. Step 5: Solve for x
    x = 228,062,658.97/20,546.46
  6. Step 6: Final answer
    x = 11,099.85

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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.