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Finding the Fourth Proportional to 20,513.09, 30,769.88 and 5,721.11

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Solution

The fourth proportional to 20,513.09, 30,769.88 and 5,721.11 is: 8,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.09 : 30,769.88 = 5,721.11 : x
  2. Step 2: Convert to fraction form
    20,513.09/30,769.88 = 5,721.11/x
  3. Step 3: Cross multiply
    20,513.09x = 30,769.88 × 5,721.11
  4. Step 4: Simplify right side
    20,513.09x = 176,037,791.24
  5. Step 5: Solve for x
    x = 176,037,791.24/20,513.09
  6. Step 6: Final answer
    x = 8,581.73

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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.