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Finding the Fourth Proportional to 12,105.68, 16,712.20 and 8,147.60

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Solution

The fourth proportional to 12,105.68, 16,712.20 and 8,147.60 is: 11,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.68 : 16,712.20 = 8,147.60 : x
  2. Step 2: Convert to fraction form
    12,105.68/16,712.20 = 8,147.60/x
  3. Step 3: Cross multiply
    12,105.68x = 16,712.20 × 8,147.60
  4. Step 4: Simplify right side
    12,105.68x = 136,164,320.72
  5. Step 5: Solve for x
    x = 136,164,320.72/12,105.68
  6. Step 6: Final answer
    x = 11,247.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.