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Finding the Fourth Proportional to 20,546.48, 30,825.90 and 8,694.14

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Solution

The fourth proportional to 20,546.48, 30,825.90 and 8,694.14 is: 13,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.48 : 30,825.90 = 8,694.14 : x
  2. Step 2: Convert to fraction form
    20,546.48/30,825.90 = 8,694.14/x
  3. Step 3: Cross multiply
    20,546.48x = 30,825.90 × 8,694.14
  4. Step 4: Simplify right side
    20,546.48x = 268,004,690.23
  5. Step 5: Solve for x
    x = 268,004,690.23/20,546.48
  6. Step 6: Final answer
    x = 13,043.83

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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.