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Finding the Fourth Proportional to 20,042.39, 30,043.56 and 9,493.67

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Solution

The fourth proportional to 20,042.39, 30,043.56 and 9,493.67 is: 14,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.39 : 30,043.56 = 9,493.67 : x
  2. Step 2: Convert to fraction form
    20,042.39/30,043.56 = 9,493.67/x
  3. Step 3: Cross multiply
    20,042.39x = 30,043.56 × 9,493.67
  4. Step 4: Simplify right side
    20,042.39x = 285,223,644.27
  5. Step 5: Solve for x
    x = 285,223,644.27/20,042.39
  6. Step 6: Final answer
    x = 14,231.02

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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.