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Finding the Fourth Proportional to 20,142.70, 27,793.58 and 11,645.62

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Solution

The fourth proportional to 20,142.70, 27,793.58 and 11,645.62 is: 16,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.70 : 27,793.58 = 11,645.62 : x
  2. Step 2: Convert to fraction form
    20,142.70/27,793.58 = 11,645.62/x
  3. Step 3: Cross multiply
    20,142.70x = 27,793.58 × 11,645.62
  4. Step 4: Simplify right side
    20,142.70x = 323,673,471.12
  5. Step 5: Solve for x
    x = 323,673,471.12/20,142.70
  6. Step 6: Final answer
    x = 16,069.02

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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.