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Finding the Fourth Proportional to 20,513.92, 30,768.14 and 5,721.60

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Solution

The fourth proportional to 20,513.92, 30,768.14 and 5,721.60 is: 8,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.92 : 30,768.14 = 5,721.60 : x
  2. Step 2: Convert to fraction form
    20,513.92/30,768.14 = 5,721.60/x
  3. Step 3: Cross multiply
    20,513.92x = 30,768.14 × 5,721.60
  4. Step 4: Simplify right side
    20,513.92x = 176,042,989.82
  5. Step 5: Solve for x
    x = 176,042,989.82/20,513.92
  6. Step 6: Final answer
    x = 8,581.64

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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.