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Finding the Fourth Proportional to 20,447.42, 30,682.96 and 8,600.24

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Solution

The fourth proportional to 20,447.42, 30,682.96 and 8,600.24 is: 12,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.42 : 30,682.96 = 8,600.24 : x
  2. Step 2: Convert to fraction form
    20,447.42/30,682.96 = 8,600.24/x
  3. Step 3: Cross multiply
    20,447.42x = 30,682.96 × 8,600.24
  4. Step 4: Simplify right side
    20,447.42x = 263,880,819.91
  5. Step 5: Solve for x
    x = 263,880,819.91/20,447.42
  6. Step 6: Final answer
    x = 12,905.34

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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.