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Finding the Fourth Proportional to 12,194.10, 18,292.14 and 3,429.72

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Solution

The fourth proportional to 12,194.10, 18,292.14 and 3,429.72 is: 5,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.10 : 18,292.14 = 3,429.72 : x
  2. Step 2: Convert to fraction form
    12,194.10/18,292.14 = 3,429.72/x
  3. Step 3: Cross multiply
    12,194.10x = 18,292.14 × 3,429.72
  4. Step 4: Simplify right side
    12,194.10x = 62,736,918.40
  5. Step 5: Solve for x
    x = 62,736,918.40/12,194.10
  6. Step 6: Final answer
    x = 5,144.86

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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.