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Finding the Fourth Proportional to 20,380.80, 30,512.88 and 12,536.80

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Solution

The fourth proportional to 20,380.80, 30,512.88 and 12,536.80 is: 18,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.80 : 30,512.88 = 12,536.80 : x
  2. Step 2: Convert to fraction form
    20,380.80/30,512.88 = 12,536.80/x
  3. Step 3: Cross multiply
    20,380.80x = 30,512.88 × 12,536.80
  4. Step 4: Simplify right side
    20,380.80x = 382,533,873.98
  5. Step 5: Solve for x
    x = 382,533,873.98/20,380.80
  6. Step 6: Final answer
    x = 18,769.33

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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.