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Finding the Fourth Proportional to 12,131.69, 18,222.44 and 7,977.60

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Solution

The fourth proportional to 12,131.69, 18,222.44 and 7,977.60 is: 11,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.69 : 18,222.44 = 7,977.60 : x
  2. Step 2: Convert to fraction form
    12,131.69/18,222.44 = 7,977.60/x
  3. Step 3: Cross multiply
    12,131.69x = 18,222.44 × 7,977.60
  4. Step 4: Simplify right side
    12,131.69x = 145,371,297.46
  5. Step 5: Solve for x
    x = 145,371,297.46/12,131.69
  6. Step 6: Final answer
    x = 11,982.78

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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.