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Finding the Fourth Proportional to 12,137.14, 16,754.42 and 8,160.56

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Solution

The fourth proportional to 12,137.14, 16,754.42 and 8,160.56 is: 11,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.14 : 16,754.42 = 8,160.56 : x
  2. Step 2: Convert to fraction form
    12,137.14/16,754.42 = 8,160.56/x
  3. Step 3: Cross multiply
    12,137.14x = 16,754.42 × 8,160.56
  4. Step 4: Simplify right side
    12,137.14x = 136,725,449.68
  5. Step 5: Solve for x
    x = 136,725,449.68/12,137.14
  6. Step 6: Final answer
    x = 11,265.05

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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.