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Finding the Fourth Proportional to 20,147.40, 30,226.30 and 7,667.64

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Solution

The fourth proportional to 20,147.40, 30,226.30 and 7,667.64 is: 11,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.40 : 30,226.30 = 7,667.64 : x
  2. Step 2: Convert to fraction form
    20,147.40/30,226.30 = 7,667.64/x
  3. Step 3: Cross multiply
    20,147.40x = 30,226.30 × 7,667.64
  4. Step 4: Simplify right side
    20,147.40x = 231,764,386.93
  5. Step 5: Solve for x
    x = 231,764,386.93/20,147.40
  6. Step 6: Final answer
    x = 11,503.44

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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.