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Finding the Fourth Proportional to 12,196.59, 18,295.97 and 3,431.58

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Solution

The fourth proportional to 12,196.59, 18,295.97 and 3,431.58 is: 5,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.59 : 18,295.97 = 3,431.58 : x
  2. Step 2: Convert to fraction form
    12,196.59/18,295.97 = 3,431.58/x
  3. Step 3: Cross multiply
    12,196.59x = 18,295.97 × 3,431.58
  4. Step 4: Simplify right side
    12,196.59x = 62,784,067.57
  5. Step 5: Solve for x
    x = 62,784,067.57/12,196.59
  6. Step 6: Final answer
    x = 5,147.67

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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.