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Finding the Fourth Proportional to 20,270, 30,394.44 and 9,167.12

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Solution

The fourth proportional to 20,270, 30,394.44 and 9,167.12 is: 13,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270 : 30,394.44 = 9,167.12 : x
  2. Step 2: Convert to fraction form
    20,270/30,394.44 = 9,167.12/x
  3. Step 3: Cross multiply
    20,270x = 30,394.44 × 9,167.12
  4. Step 4: Simplify right side
    20,270x = 278,629,478.81
  5. Step 5: Solve for x
    x = 278,629,478.81/20,270
  6. Step 6: Final answer
    x = 13,745.90

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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.