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Finding the Fourth Proportional to 20,511.23, 30,751.79 and 8,020.35

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Solution

The fourth proportional to 20,511.23, 30,751.79 and 8,020.35 is: 12,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.23 : 30,751.79 = 8,020.35 : x
  2. Step 2: Convert to fraction form
    20,511.23/30,751.79 = 8,020.35/x
  3. Step 3: Cross multiply
    20,511.23x = 30,751.79 × 8,020.35
  4. Step 4: Simplify right side
    20,511.23x = 246,640,078.82
  5. Step 5: Solve for x
    x = 246,640,078.82/20,511.23
  6. Step 6: Final answer
    x = 12,024.64

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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.