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Finding the Fourth Proportional to 13,524.72, 18,664.25 and 8,147.81

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Solution

The fourth proportional to 13,524.72, 18,664.25 and 8,147.81 is: 11,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.72 : 18,664.25 = 8,147.81 : x
  2. Step 2: Convert to fraction form
    13,524.72/18,664.25 = 8,147.81/x
  3. Step 3: Cross multiply
    13,524.72x = 18,664.25 × 8,147.81
  4. Step 4: Simplify right side
    13,524.72x = 152,072,628.73
  5. Step 5: Solve for x
    x = 152,072,628.73/13,524.72
  6. Step 6: Final answer
    x = 11,244.05

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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.