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Finding the Fourth Proportional to 20,071.09, 30,072.67 and 12,149.60

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Solution

The fourth proportional to 20,071.09, 30,072.67 and 12,149.60 is: 18,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.09 : 30,072.67 = 12,149.60 : x
  2. Step 2: Convert to fraction form
    20,071.09/30,072.67 = 12,149.60/x
  3. Step 3: Cross multiply
    20,071.09x = 30,072.67 × 12,149.60
  4. Step 4: Simplify right side
    20,071.09x = 365,370,730.69
  5. Step 5: Solve for x
    x = 365,370,730.69/20,071.09
  6. Step 6: Final answer
    x = 18,203.83

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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.