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Finding the Fourth Proportional to 20,665.91, 30,972.69 and 10,133.43

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Solution

The fourth proportional to 20,665.91, 30,972.69 and 10,133.43 is: 15,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.91 : 30,972.69 = 10,133.43 : x
  2. Step 2: Convert to fraction form
    20,665.91/30,972.69 = 10,133.43/x
  3. Step 3: Cross multiply
    20,665.91x = 30,972.69 × 10,133.43
  4. Step 4: Simplify right side
    20,665.91x = 313,859,586.03
  5. Step 5: Solve for x
    x = 313,859,586.03/20,665.91
  6. Step 6: Final answer
    x = 15,187.31

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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.