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Finding the Fourth Proportional to 20,612.76, 30,932.96 and 8,131.36

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Solution

The fourth proportional to 20,612.76, 30,932.96 and 8,131.36 is: 12,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,612.76 : 30,932.96 = 8,131.36 : x
  2. Step 2: Convert to fraction form
    20,612.76/30,932.96 = 8,131.36/x
  3. Step 3: Cross multiply
    20,612.76x = 30,932.96 × 8,131.36
  4. Step 4: Simplify right side
    20,612.76x = 251,527,033.63
  5. Step 5: Solve for x
    x = 251,527,033.63/20,612.76
  6. Step 6: Final answer
    x = 12,202.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.