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Finding the Fourth Proportional to 37,286.20, 55,930.58 and 12,659

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Solution

The fourth proportional to 37,286.20, 55,930.58 and 12,659 is: 18,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,286.20 : 55,930.58 = 12,659 : x
  2. Step 2: Convert to fraction form
    37,286.20/55,930.58 = 12,659/x
  3. Step 3: Cross multiply
    37,286.20x = 55,930.58 × 12,659
  4. Step 4: Simplify right side
    37,286.20x = 708,025,212.22
  5. Step 5: Solve for x
    x = 708,025,212.22/37,286.20
  6. Step 6: Final answer
    x = 18,988.93

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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.