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Finding the Fourth Proportional to 12,196.26, 18,295.94 and 3,873.31

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Solution

The fourth proportional to 12,196.26, 18,295.94 and 3,873.31 is: 5,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.26 : 18,295.94 = 3,873.31 : x
  2. Step 2: Convert to fraction form
    12,196.26/18,295.94 = 3,873.31/x
  3. Step 3: Cross multiply
    12,196.26x = 18,295.94 × 3,873.31
  4. Step 4: Simplify right side
    12,196.26x = 70,865,811.30
  5. Step 5: Solve for x
    x = 70,865,811.30/12,196.26
  6. Step 6: Final answer
    x = 5,810.45

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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.