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Finding the Fourth Proportional to 27,055.20, 40,584.02 and 10,409.31

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Solution

The fourth proportional to 27,055.20, 40,584.02 and 10,409.31 is: 15,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,055.20 : 40,584.02 = 10,409.31 : x
  2. Step 2: Convert to fraction form
    27,055.20/40,584.02 = 10,409.31/x
  3. Step 3: Cross multiply
    27,055.20x = 40,584.02 × 10,409.31
  4. Step 4: Simplify right side
    27,055.20x = 422,451,593.18
  5. Step 5: Solve for x
    x = 422,451,593.18/27,055.20
  6. Step 6: Final answer
    x = 15,614.43

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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.