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Finding the Fourth Proportional to 20,801.78, 31,190.17 and 8,136.44

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Solution

The fourth proportional to 20,801.78, 31,190.17 and 8,136.44 is: 12,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.78 : 31,190.17 = 8,136.44 : x
  2. Step 2: Convert to fraction form
    20,801.78/31,190.17 = 8,136.44/x
  3. Step 3: Cross multiply
    20,801.78x = 31,190.17 × 8,136.44
  4. Step 4: Simplify right side
    20,801.78x = 253,776,946.79
  5. Step 5: Solve for x
    x = 253,776,946.79/20,801.78
  6. Step 6: Final answer
    x = 12,199.77

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