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Finding the Fourth Proportional to 20,794.62, 31,142.27 and 12,002.88

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Solution

The fourth proportional to 20,794.62, 31,142.27 and 12,002.88 is: 17,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.62 : 31,142.27 = 12,002.88 : x
  2. Step 2: Convert to fraction form
    20,794.62/31,142.27 = 12,002.88/x
  3. Step 3: Cross multiply
    20,794.62x = 31,142.27 × 12,002.88
  4. Step 4: Simplify right side
    20,794.62x = 373,797,076.53
  5. Step 5: Solve for x
    x = 373,797,076.53/20,794.62
  6. Step 6: Final answer
    x = 17,975.66

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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.