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Finding the Fourth Proportional to 20,149.67, 30,227.77 and 6,106.41

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Solution

The fourth proportional to 20,149.67, 30,227.77 and 6,106.41 is: 9,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.67 : 30,227.77 = 6,106.41 : x
  2. Step 2: Convert to fraction form
    20,149.67/30,227.77 = 6,106.41/x
  3. Step 3: Cross multiply
    20,149.67x = 30,227.77 × 6,106.41
  4. Step 4: Simplify right side
    20,149.67x = 184,583,005.87
  5. Step 5: Solve for x
    x = 184,583,005.87/20,149.67
  6. Step 6: Final answer
    x = 9,160.60

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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.