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Finding the Fourth Proportional to 20,467.96, 30,701.95 and 5,680.60

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Solution

The fourth proportional to 20,467.96, 30,701.95 and 5,680.60 is: 8,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,467.96 : 30,701.95 = 5,680.60 : x
  2. Step 2: Convert to fraction form
    20,467.96/30,701.95 = 5,680.60/x
  3. Step 3: Cross multiply
    20,467.96x = 30,701.95 × 5,680.60
  4. Step 4: Simplify right side
    20,467.96x = 174,405,497.17
  5. Step 5: Solve for x
    x = 174,405,497.17/20,467.96
  6. Step 6: Final answer
    x = 8,520.90

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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.