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Finding the Fourth Proportional to 20,500.74, 30,726.42 and 8,649.95

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Solution

The fourth proportional to 20,500.74, 30,726.42 and 8,649.95 is: 12,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.74 : 30,726.42 = 8,649.95 : x
  2. Step 2: Convert to fraction form
    20,500.74/30,726.42 = 8,649.95/x
  3. Step 3: Cross multiply
    20,500.74x = 30,726.42 × 8,649.95
  4. Step 4: Simplify right side
    20,500.74x = 265,781,843.05
  5. Step 5: Solve for x
    x = 265,781,843.05/20,500.74
  6. Step 6: Final answer
    x = 12,964.50

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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.