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Finding the Fourth Proportional to 20,194.29, 30,297.92 and 9,813.33

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Solution

The fourth proportional to 20,194.29, 30,297.92 and 9,813.33 is: 14,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.29 : 30,297.92 = 9,813.33 : x
  2. Step 2: Convert to fraction form
    20,194.29/30,297.92 = 9,813.33/x
  3. Step 3: Cross multiply
    20,194.29x = 30,297.92 × 9,813.33
  4. Step 4: Simplify right side
    20,194.29x = 297,323,438.21
  5. Step 5: Solve for x
    x = 297,323,438.21/20,194.29
  6. Step 6: Final answer
    x = 14,723.14

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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.