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Finding the Fourth Proportional to 20,822.70, 31,183.99 and 11,911.02

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Solution

The fourth proportional to 20,822.70, 31,183.99 and 11,911.02 is: 17,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.70 : 31,183.99 = 11,911.02 : x
  2. Step 2: Convert to fraction form
    20,822.70/31,183.99 = 11,911.02/x
  3. Step 3: Cross multiply
    20,822.70x = 31,183.99 × 11,911.02
  4. Step 4: Simplify right side
    20,822.70x = 371,433,128.57
  5. Step 5: Solve for x
    x = 371,433,128.57/20,822.70
  6. Step 6: Final answer
    x = 17,837.89

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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.