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Finding the Fourth Proportional to 20,046.92, 30,073.26 and 6,197

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Solution

The fourth proportional to 20,046.92, 30,073.26 and 6,197 is: 9,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.92 : 30,073.26 = 6,197 : x
  2. Step 2: Convert to fraction form
    20,046.92/30,073.26 = 6,197/x
  3. Step 3: Cross multiply
    20,046.92x = 30,073.26 × 6,197
  4. Step 4: Simplify right side
    20,046.92x = 186,363,992.22
  5. Step 5: Solve for x
    x = 186,363,992.22/20,046.92
  6. Step 6: Final answer
    x = 9,296.39

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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.