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Finding the Fourth Proportional to 12,194.90, 18,293.03 and 3,429.13

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Solution

The fourth proportional to 12,194.90, 18,293.03 and 3,429.13 is: 5,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.90 : 18,293.03 = 3,429.13 : x
  2. Step 2: Convert to fraction form
    12,194.90/18,293.03 = 3,429.13/x
  3. Step 3: Cross multiply
    12,194.90x = 18,293.03 × 3,429.13
  4. Step 4: Simplify right side
    12,194.90x = 62,729,177.96
  5. Step 5: Solve for x
    x = 62,729,177.96/12,194.90
  6. Step 6: Final answer
    x = 5,143.89

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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.