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Finding the Fourth Proportional to 20,206.97, 30,322.76 and 8,520.19

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Solution

The fourth proportional to 20,206.97, 30,322.76 and 8,520.19 is: 12,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.97 : 30,322.76 = 8,520.19 : x
  2. Step 2: Convert to fraction form
    20,206.97/30,322.76 = 8,520.19/x
  3. Step 3: Cross multiply
    20,206.97x = 30,322.76 × 8,520.19
  4. Step 4: Simplify right side
    20,206.97x = 258,355,558.12
  5. Step 5: Solve for x
    x = 258,355,558.12/20,206.97
  6. Step 6: Final answer
    x = 12,785.47

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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.