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Finding the Fourth Proportional to 20,536.66, 30,793.56 and 13,136.50

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Solution

The fourth proportional to 20,536.66, 30,793.56 and 13,136.50 is: 19,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.66 : 30,793.56 = 13,136.50 : x
  2. Step 2: Convert to fraction form
    20,536.66/30,793.56 = 13,136.50/x
  3. Step 3: Cross multiply
    20,536.66x = 30,793.56 × 13,136.50
  4. Step 4: Simplify right side
    20,536.66x = 404,519,600.94
  5. Step 5: Solve for x
    x = 404,519,600.94/20,536.66
  6. Step 6: Final answer
    x = 19,697.44

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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.