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Finding the Fourth Proportional to 27,193.14, 40,806.14 and 9,661.64

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Solution

The fourth proportional to 27,193.14, 40,806.14 and 9,661.64 is: 14,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193.14 : 40,806.14 = 9,661.64 : x
  2. Step 2: Convert to fraction form
    27,193.14/40,806.14 = 9,661.64/x
  3. Step 3: Cross multiply
    27,193.14x = 40,806.14 × 9,661.64
  4. Step 4: Simplify right side
    27,193.14x = 394,253,982.13
  5. Step 5: Solve for x
    x = 394,253,982.13/27,193.14
  6. Step 6: Final answer
    x = 14,498.29

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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.