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Finding the Fourth Proportional to 20,462.48, 30,694.31 and 7,982

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Solution

The fourth proportional to 20,462.48, 30,694.31 and 7,982 is: 11,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.48 : 30,694.31 = 7,982 : x
  2. Step 2: Convert to fraction form
    20,462.48/30,694.31 = 7,982/x
  3. Step 3: Cross multiply
    20,462.48x = 30,694.31 × 7,982
  4. Step 4: Simplify right side
    20,462.48x = 245,001,982.42
  5. Step 5: Solve for x
    x = 245,001,982.42/20,462.48
  6. Step 6: Final answer
    x = 11,973.23

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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.