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Finding the Fourth Proportional to 20,227.93, 30,321.16 and 7,744.71

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Solution

The fourth proportional to 20,227.93, 30,321.16 and 7,744.71 is: 11,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.93 : 30,321.16 = 7,744.71 : x
  2. Step 2: Convert to fraction form
    20,227.93/30,321.16 = 7,744.71/x
  3. Step 3: Cross multiply
    20,227.93x = 30,321.16 × 7,744.71
  4. Step 4: Simplify right side
    20,227.93x = 234,828,707.19
  5. Step 5: Solve for x
    x = 234,828,707.19/20,227.93
  6. Step 6: Final answer
    x = 11,609.13

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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.