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Finding the Fourth Proportional to 20,822.64, 28,735.09 and 11,391.22

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Solution

The fourth proportional to 20,822.64, 28,735.09 and 11,391.22 is: 15,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.64 : 28,735.09 = 11,391.22 : x
  2. Step 2: Convert to fraction form
    20,822.64/28,735.09 = 11,391.22/x
  3. Step 3: Cross multiply
    20,822.64x = 28,735.09 × 11,391.22
  4. Step 4: Simplify right side
    20,822.64x = 327,327,731.91
  5. Step 5: Solve for x
    x = 327,327,731.91/20,822.64
  6. Step 6: Final answer
    x = 15,719.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.