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Finding the Fourth Proportional to 20,092.59, 30,145.14 and 12,096.05

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Solution

The fourth proportional to 20,092.59, 30,145.14 and 12,096.05 is: 18,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.59 : 30,145.14 = 12,096.05 : x
  2. Step 2: Convert to fraction form
    20,092.59/30,145.14 = 12,096.05/x
  3. Step 3: Cross multiply
    20,092.59x = 30,145.14 × 12,096.05
  4. Step 4: Simplify right side
    20,092.59x = 364,636,969.97
  5. Step 5: Solve for x
    x = 364,636,969.97/20,092.59
  6. Step 6: Final answer
    x = 18,147.83

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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.