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Finding the Fourth Proportional to 12,283.12, 18,424.68 and 8,149.54

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Solution

The fourth proportional to 12,283.12, 18,424.68 and 8,149.54 is: 12,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.12 : 18,424.68 = 8,149.54 : x
  2. Step 2: Convert to fraction form
    12,283.12/18,424.68 = 8,149.54/x
  3. Step 3: Cross multiply
    12,283.12x = 18,424.68 × 8,149.54
  4. Step 4: Simplify right side
    12,283.12x = 150,152,584.21
  5. Step 5: Solve for x
    x = 150,152,584.21/12,283.12
  6. Step 6: Final answer
    x = 12,224.30

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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.