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Finding the Fourth Proportional to 20,508.01, 30,764.57 and 8,026.42

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Solution

The fourth proportional to 20,508.01, 30,764.57 and 8,026.42 is: 12,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.01 : 30,764.57 = 8,026.42 : x
  2. Step 2: Convert to fraction form
    20,508.01/30,764.57 = 8,026.42/x
  3. Step 3: Cross multiply
    20,508.01x = 30,764.57 × 8,026.42
  4. Step 4: Simplify right side
    20,508.01x = 246,929,303.09
  5. Step 5: Solve for x
    x = 246,929,303.09/20,508.01
  6. Step 6: Final answer
    x = 12,040.63

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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.