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Finding the Fourth Proportional to 12,201.02, 18,297.90 and 5,180.94

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Solution

The fourth proportional to 12,201.02, 18,297.90 and 5,180.94 is: 7,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.02 : 18,297.90 = 5,180.94 : x
  2. Step 2: Convert to fraction form
    12,201.02/18,297.90 = 5,180.94/x
  3. Step 3: Cross multiply
    12,201.02x = 18,297.90 × 5,180.94
  4. Step 4: Simplify right side
    12,201.02x = 94,800,322.03
  5. Step 5: Solve for x
    x = 94,800,322.03/12,201.02
  6. Step 6: Final answer
    x = 7,769.87

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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.