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Finding the Fourth Proportional to 20,091.39, 30,146.81 and 12,295.95

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Solution

The fourth proportional to 20,091.39, 30,146.81 and 12,295.95 is: 18,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091.39 : 30,146.81 = 12,295.95 : x
  2. Step 2: Convert to fraction form
    20,091.39/30,146.81 = 12,295.95/x
  3. Step 3: Cross multiply
    20,091.39x = 30,146.81 × 12,295.95
  4. Step 4: Simplify right side
    20,091.39x = 370,683,606.94
  5. Step 5: Solve for x
    x = 370,683,606.94/20,091.39
  6. Step 6: Final answer
    x = 18,449.87

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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.