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Finding the Fourth Proportional to 13,137, 18,132.10 and 8,661.56

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Solution

The fourth proportional to 13,137, 18,132.10 and 8,661.56 is: 11,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137 : 18,132.10 = 8,661.56 : x
  2. Step 2: Convert to fraction form
    13,137/18,132.10 = 8,661.56/x
  3. Step 3: Cross multiply
    13,137x = 18,132.10 × 8,661.56
  4. Step 4: Simplify right side
    13,137x = 157,052,272.08
  5. Step 5: Solve for x
    x = 157,052,272.08/13,137
  6. Step 6: Final answer
    x = 11,954.96

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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.