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Finding the Fourth Proportional to 20,671.57, 30,989.16 and 8,200.36

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Solution

The fourth proportional to 20,671.57, 30,989.16 and 8,200.36 is: 12,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.57 : 30,989.16 = 8,200.36 : x
  2. Step 2: Convert to fraction form
    20,671.57/30,989.16 = 8,200.36/x
  3. Step 3: Cross multiply
    20,671.57x = 30,989.16 × 8,200.36
  4. Step 4: Simplify right side
    20,671.57x = 254,122,121.14
  5. Step 5: Solve for x
    x = 254,122,121.14/20,671.57
  6. Step 6: Final answer
    x = 12,293.31

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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.