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Finding the Fourth Proportional to 20,201.40, 30,269.70 and 13,267.80

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Solution

The fourth proportional to 20,201.40, 30,269.70 and 13,267.80 is: 19,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.40 : 30,269.70 = 13,267.80 : x
  2. Step 2: Convert to fraction form
    20,201.40/30,269.70 = 13,267.80/x
  3. Step 3: Cross multiply
    20,201.40x = 30,269.70 × 13,267.80
  4. Step 4: Simplify right side
    20,201.40x = 401,612,325.66
  5. Step 5: Solve for x
    x = 401,612,325.66/20,201.40
  6. Step 6: Final answer
    x = 19,880.42

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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.