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Finding the Fourth Proportional to 20,512.13, 30,768.18 and 5,721.21

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Solution

The fourth proportional to 20,512.13, 30,768.18 and 5,721.21 is: 8,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.13 : 30,768.18 = 5,721.21 : x
  2. Step 2: Convert to fraction form
    20,512.13/30,768.18 = 5,721.21/x
  3. Step 3: Cross multiply
    20,512.13x = 30,768.18 × 5,721.21
  4. Step 4: Simplify right side
    20,512.13x = 176,031,219.10
  5. Step 5: Solve for x
    x = 176,031,219.10/20,512.13
  6. Step 6: Final answer
    x = 8,581.81

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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.