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Finding the Fourth Proportional to 20,201.40, 30,302.10 and 12,814.20

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Solution

The fourth proportional to 20,201.40, 30,302.10 and 12,814.20 is: 19,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.40 : 30,302.10 = 12,814.20 : x
  2. Step 2: Convert to fraction form
    20,201.40/30,302.10 = 12,814.20/x
  3. Step 3: Cross multiply
    20,201.40x = 30,302.10 × 12,814.20
  4. Step 4: Simplify right side
    20,201.40x = 388,297,169.82
  5. Step 5: Solve for x
    x = 388,297,169.82/20,201.40
  6. Step 6: Final answer
    x = 19,221.30

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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.