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Finding the Fourth Proportional to 12,149.68, 18,224.54 and 3,384.60

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Solution

The fourth proportional to 12,149.68, 18,224.54 and 3,384.60 is: 5,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.68 : 18,224.54 = 3,384.60 : x
  2. Step 2: Convert to fraction form
    12,149.68/18,224.54 = 3,384.60/x
  3. Step 3: Cross multiply
    12,149.68x = 18,224.54 × 3,384.60
  4. Step 4: Simplify right side
    12,149.68x = 61,682,778.08
  5. Step 5: Solve for x
    x = 61,682,778.08/12,149.68
  6. Step 6: Final answer
    x = 5,076.91

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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.