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Finding the Fourth Proportional to 20,142.25, 27,795.90 and 11,189.50

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Solution

The fourth proportional to 20,142.25, 27,795.90 and 11,189.50 is: 15,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.25 : 27,795.90 = 11,189.50 : x
  2. Step 2: Convert to fraction form
    20,142.25/27,795.90 = 11,189.50/x
  3. Step 3: Cross multiply
    20,142.25x = 27,795.90 × 11,189.50
  4. Step 4: Simplify right side
    20,142.25x = 311,022,223.05
  5. Step 5: Solve for x
    x = 311,022,223.05/20,142.25
  6. Step 6: Final answer
    x = 15,441.29

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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.