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Finding the Fourth Proportional to 20,508.22, 30,761.04 and 5,719.24

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Solution

The fourth proportional to 20,508.22, 30,761.04 and 5,719.24 is: 8,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.22 : 30,761.04 = 5,719.24 : x
  2. Step 2: Convert to fraction form
    20,508.22/30,761.04 = 5,719.24/x
  3. Step 3: Cross multiply
    20,508.22x = 30,761.04 × 5,719.24
  4. Step 4: Simplify right side
    20,508.22x = 175,929,770.41
  5. Step 5: Solve for x
    x = 175,929,770.41/20,508.22
  6. Step 6: Final answer
    x = 8,578.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.