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Finding the Fourth Proportional to 20,189.75, 30,289.50 and 6,338.75

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Solution

The fourth proportional to 20,189.75, 30,289.50 and 6,338.75 is: 9,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.75 : 30,289.50 = 6,338.75 : x
  2. Step 2: Convert to fraction form
    20,189.75/30,289.50 = 6,338.75/x
  3. Step 3: Cross multiply
    20,189.75x = 30,289.50 × 6,338.75
  4. Step 4: Simplify right side
    20,189.75x = 191,997,568.13
  5. Step 5: Solve for x
    x = 191,997,568.13/20,189.75
  6. Step 6: Final answer
    x = 9,509.66

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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.