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Finding the Fourth Proportional to 20,993.22, 31,489.77 and 7,667.22

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Solution

The fourth proportional to 20,993.22, 31,489.77 and 7,667.22 is: 11,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.22 : 31,489.77 = 7,667.22 : x
  2. Step 2: Convert to fraction form
    20,993.22/31,489.77 = 7,667.22/x
  3. Step 3: Cross multiply
    20,993.22x = 31,489.77 × 7,667.22
  4. Step 4: Simplify right side
    20,993.22x = 241,438,994.34
  5. Step 5: Solve for x
    x = 241,438,994.34/20,993.22
  6. Step 6: Final answer
    x = 11,500.81

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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.