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Finding the Fourth Proportional to 12,164.64, 18,201.39 and 8,662.74

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Solution

The fourth proportional to 12,164.64, 18,201.39 and 8,662.74 is: 12,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.64 : 18,201.39 = 8,662.74 : x
  2. Step 2: Convert to fraction form
    12,164.64/18,201.39 = 8,662.74/x
  3. Step 3: Cross multiply
    12,164.64x = 18,201.39 × 8,662.74
  4. Step 4: Simplify right side
    12,164.64x = 157,673,909.21
  5. Step 5: Solve for x
    x = 157,673,909.21/12,164.64
  6. Step 6: Final answer
    x = 12,961.66

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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.