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Finding the Fourth Proportional to 20,513.27, 30,769.94 and 11,742.12

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Solution

The fourth proportional to 20,513.27, 30,769.94 and 11,742.12 is: 17,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.27 : 30,769.94 = 11,742.12 : x
  2. Step 2: Convert to fraction form
    20,513.27/30,769.94 = 11,742.12/x
  3. Step 3: Cross multiply
    20,513.27x = 30,769.94 × 11,742.12
  4. Step 4: Simplify right side
    20,513.27x = 361,304,357.23
  5. Step 5: Solve for x
    x = 361,304,357.23/20,513.27
  6. Step 6: Final answer
    x = 17,613.20

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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.