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Finding the Fourth Proportional to 20,198.58, 30,301.29 and 9,105.03

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Solution

The fourth proportional to 20,198.58, 30,301.29 and 9,105.03 is: 13,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.58 : 30,301.29 = 9,105.03 : x
  2. Step 2: Convert to fraction form
    20,198.58/30,301.29 = 9,105.03/x
  3. Step 3: Cross multiply
    20,198.58x = 30,301.29 × 9,105.03
  4. Step 4: Simplify right side
    20,198.58x = 275,894,154.49
  5. Step 5: Solve for x
    x = 275,894,154.49/20,198.58
  6. Step 6: Final answer
    x = 13,659.09

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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.