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Finding the Fourth Proportional to 20,214.20, 30,321.30 and 12,851.30

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Solution

The fourth proportional to 20,214.20, 30,321.30 and 12,851.30 is: 19,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.20 : 30,321.30 = 12,851.30 : x
  2. Step 2: Convert to fraction form
    20,214.20/30,321.30 = 12,851.30/x
  3. Step 3: Cross multiply
    20,214.20x = 30,321.30 × 12,851.30
  4. Step 4: Simplify right side
    20,214.20x = 389,668,122.69
  5. Step 5: Solve for x
    x = 389,668,122.69/20,214.20
  6. Step 6: Final answer
    x = 19,276.95

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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.