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Finding the Fourth Proportional to 20,446.16, 30,620.03 and 11,654.42

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Solution

The fourth proportional to 20,446.16, 30,620.03 and 11,654.42 is: 17,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.16 : 30,620.03 = 11,654.42 : x
  2. Step 2: Convert to fraction form
    20,446.16/30,620.03 = 11,654.42/x
  3. Step 3: Cross multiply
    20,446.16x = 30,620.03 × 11,654.42
  4. Step 4: Simplify right side
    20,446.16x = 356,858,478.66
  5. Step 5: Solve for x
    x = 356,858,478.66/20,446.16
  6. Step 6: Final answer
    x = 17,453.57

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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.