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Finding the Fourth Proportional to 20,149.30, 30,219.36 and 7,664.86

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Solution

The fourth proportional to 20,149.30, 30,219.36 and 7,664.86 is: 11,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.30 : 30,219.36 = 7,664.86 : x
  2. Step 2: Convert to fraction form
    20,149.30/30,219.36 = 7,664.86/x
  3. Step 3: Cross multiply
    20,149.30x = 30,219.36 × 7,664.86
  4. Step 4: Simplify right side
    20,149.30x = 231,627,163.69
  5. Step 5: Solve for x
    x = 231,627,163.69/20,149.30
  6. Step 6: Final answer
    x = 11,495.54

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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.