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Finding the Fourth Proportional to 20,329.26, 30,481.74 and 7,838.93

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Solution

The fourth proportional to 20,329.26, 30,481.74 and 7,838.93 is: 11,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,329.26 : 30,481.74 = 7,838.93 : x
  2. Step 2: Convert to fraction form
    20,329.26/30,481.74 = 7,838.93/x
  3. Step 3: Cross multiply
    20,329.26x = 30,481.74 × 7,838.93
  4. Step 4: Simplify right side
    20,329.26x = 238,944,073.73
  5. Step 5: Solve for x
    x = 238,944,073.73/20,329.26
  6. Step 6: Final answer
    x = 11,753.70

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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.