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Finding the Fourth Proportional to 20,578.35, 30,857.79 and 9,481.76

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Solution

The fourth proportional to 20,578.35, 30,857.79 and 9,481.76 is: 14,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.35 : 30,857.79 = 9,481.76 : x
  2. Step 2: Convert to fraction form
    20,578.35/30,857.79 = 9,481.76/x
  3. Step 3: Cross multiply
    20,578.35x = 30,857.79 × 9,481.76
  4. Step 4: Simplify right side
    20,578.35x = 292,586,155.89
  5. Step 5: Solve for x
    x = 292,586,155.89/20,578.35
  6. Step 6: Final answer
    x = 14,218.15

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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.