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Finding the Fourth Proportional to 20,189.70, 30,289.37 and 6,338.70

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Solution

The fourth proportional to 20,189.70, 30,289.37 and 6,338.70 is: 9,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.70 : 30,289.37 = 6,338.70 : x
  2. Step 2: Convert to fraction form
    20,189.70/30,289.37 = 6,338.70/x
  3. Step 3: Cross multiply
    20,189.70x = 30,289.37 × 6,338.70
  4. Step 4: Simplify right side
    20,189.70x = 191,995,197.93
  5. Step 5: Solve for x
    x = 191,995,197.93/20,189.70
  6. Step 6: Final answer
    x = 9,509.56

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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.