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Finding the Fourth Proportional to 20,193.40, 30,290.10 and 12,806.20

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Solution

The fourth proportional to 20,193.40, 30,290.10 and 12,806.20 is: 19,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.40 : 30,290.10 = 12,806.20 : x
  2. Step 2: Convert to fraction form
    20,193.40/30,290.10 = 12,806.20/x
  3. Step 3: Cross multiply
    20,193.40x = 30,290.10 × 12,806.20
  4. Step 4: Simplify right side
    20,193.40x = 387,901,078.62
  5. Step 5: Solve for x
    x = 387,901,078.62/20,193.40
  6. Step 6: Final answer
    x = 19,209.30

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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.