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Finding the Fourth Proportional to 20,160.98, 27,822.12 and 11,209.31

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Solution

The fourth proportional to 20,160.98, 27,822.12 and 11,209.31 is: 15,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.98 : 27,822.12 = 11,209.31 : x
  2. Step 2: Convert to fraction form
    20,160.98/27,822.12 = 11,209.31/x
  3. Step 3: Cross multiply
    20,160.98x = 27,822.12 × 11,209.31
  4. Step 4: Simplify right side
    20,160.98x = 311,866,767.94
  5. Step 5: Solve for x
    x = 311,866,767.94/20,160.98
  6. Step 6: Final answer
    x = 15,468.83

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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.