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Finding the Fourth Proportional to 20,198.35, 30,282.94 and 8,505.19

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Solution

The fourth proportional to 20,198.35, 30,282.94 and 8,505.19 is: 12,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.35 : 30,282.94 = 8,505.19 : x
  2. Step 2: Convert to fraction form
    20,198.35/30,282.94 = 8,505.19/x
  3. Step 3: Cross multiply
    20,198.35x = 30,282.94 × 8,505.19
  4. Step 4: Simplify right side
    20,198.35x = 257,562,158.46
  5. Step 5: Solve for x
    x = 257,562,158.46/20,198.35
  6. Step 6: Final answer
    x = 12,751.64

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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.