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Finding the Fourth Proportional to 12,436.81, 18,659.67 and 6,196.26

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Solution

The fourth proportional to 12,436.81, 18,659.67 and 6,196.26 is: 9,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.81 : 18,659.67 = 6,196.26 : x
  2. Step 2: Convert to fraction form
    12,436.81/18,659.67 = 6,196.26/x
  3. Step 3: Cross multiply
    12,436.81x = 18,659.67 × 6,196.26
  4. Step 4: Simplify right side
    12,436.81x = 115,620,166.83
  5. Step 5: Solve for x
    x = 115,620,166.83/12,436.81
  6. Step 6: Final answer
    x = 9,296.61

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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.