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Finding the Fourth Proportional to 12,194.09, 18,292.22 and 3,429.08

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Solution

The fourth proportional to 12,194.09, 18,292.22 and 3,429.08 is: 5,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.09 : 18,292.22 = 3,429.08 : x
  2. Step 2: Convert to fraction form
    12,194.09/18,292.22 = 3,429.08/x
  3. Step 3: Cross multiply
    12,194.09x = 18,292.22 × 3,429.08
  4. Step 4: Simplify right side
    12,194.09x = 62,725,485.76
  5. Step 5: Solve for x
    x = 62,725,485.76/12,194.09
  6. Step 6: Final answer
    x = 5,143.93

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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.