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Finding the Fourth Proportional to 20,290.34, 30,441.12 and 8,449.68

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Solution

The fourth proportional to 20,290.34, 30,441.12 and 8,449.68 is: 12,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.34 : 30,441.12 = 8,449.68 : x
  2. Step 2: Convert to fraction form
    20,290.34/30,441.12 = 8,449.68/x
  3. Step 3: Cross multiply
    20,290.34x = 30,441.12 × 8,449.68
  4. Step 4: Simplify right side
    20,290.34x = 257,217,680.59
  5. Step 5: Solve for x
    x = 257,217,680.59/20,290.34
  6. Step 6: Final answer
    x = 12,676.86

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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.