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Finding the Fourth Proportional to 20,778.42, 28,674.09 and 12,820.62

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Solution

The fourth proportional to 20,778.42, 28,674.09 and 12,820.62 is: 17,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.42 : 28,674.09 = 12,820.62 : x
  2. Step 2: Convert to fraction form
    20,778.42/28,674.09 = 12,820.62/x
  3. Step 3: Cross multiply
    20,778.42x = 28,674.09 × 12,820.62
  4. Step 4: Simplify right side
    20,778.42x = 367,619,611.74
  5. Step 5: Solve for x
    x = 367,619,611.74/20,778.42
  6. Step 6: Final answer
    x = 17,692.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.