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Finding the Fourth Proportional to 12,137.14, 18,182.37 and 7,443.46

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Solution

The fourth proportional to 12,137.14, 18,182.37 and 7,443.46 is: 11,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.14 : 18,182.37 = 7,443.46 : x
  2. Step 2: Convert to fraction form
    12,137.14/18,182.37 = 7,443.46/x
  3. Step 3: Cross multiply
    12,137.14x = 18,182.37 × 7,443.46
  4. Step 4: Simplify right side
    12,137.14x = 135,339,743.80
  5. Step 5: Solve for x
    x = 135,339,743.80/12,137.14
  6. Step 6: Final answer
    x = 11,150.88

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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.