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Finding the Fourth Proportional to 20,662.45, 30,976.26 and 8,966.86

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Solution

The fourth proportional to 20,662.45, 30,976.26 and 8,966.86 is: 13,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,662.45 : 30,976.26 = 8,966.86 : x
  2. Step 2: Convert to fraction form
    20,662.45/30,976.26 = 8,966.86/x
  3. Step 3: Cross multiply
    20,662.45x = 30,976.26 × 8,966.86
  4. Step 4: Simplify right side
    20,662.45x = 277,759,786.74
  5. Step 5: Solve for x
    x = 277,759,786.74/20,662.45
  6. Step 6: Final answer
    x = 13,442.73

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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.