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Finding the Fourth Proportional to 20,512.01, 30,768.69 and 5,719.68

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Solution

The fourth proportional to 20,512.01, 30,768.69 and 5,719.68 is: 8,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.01 : 30,768.69 = 5,719.68 : x
  2. Step 2: Convert to fraction form
    20,512.01/30,768.69 = 5,719.68/x
  3. Step 3: Cross multiply
    20,512.01x = 30,768.69 × 5,719.68
  4. Step 4: Simplify right side
    20,512.01x = 175,987,060.82
  5. Step 5: Solve for x
    x = 175,987,060.82/20,512.01
  6. Step 6: Final answer
    x = 8,579.71

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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.