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Finding the Fourth Proportional to 20,446.56, 30,677.73 and 7,975.44

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Solution

The fourth proportional to 20,446.56, 30,677.73 and 7,975.44 is: 11,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.56 : 30,677.73 = 7,975.44 : x
  2. Step 2: Convert to fraction form
    20,446.56/30,677.73 = 7,975.44/x
  3. Step 3: Cross multiply
    20,446.56x = 30,677.73 × 7,975.44
  4. Step 4: Simplify right side
    20,446.56x = 244,668,394.95
  5. Step 5: Solve for x
    x = 244,668,394.95/20,446.56
  6. Step 6: Final answer
    x = 11,966.24

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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.