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Finding the Fourth Proportional to 20,036.10, 30,051.03 and 8,189.43

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Solution

The fourth proportional to 20,036.10, 30,051.03 and 8,189.43 is: 12,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,036.10 : 30,051.03 = 8,189.43 : x
  2. Step 2: Convert to fraction form
    20,036.10/30,051.03 = 8,189.43/x
  3. Step 3: Cross multiply
    20,036.10x = 30,051.03 × 8,189.43
  4. Step 4: Simplify right side
    20,036.10x = 246,100,806.61
  5. Step 5: Solve for x
    x = 246,100,806.61/20,036.10
  6. Step 6: Final answer
    x = 12,282.87

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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.