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Finding the Fourth Proportional to 27,708.97, 41,564.69 and 10,169.23

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Solution

The fourth proportional to 27,708.97, 41,564.69 and 10,169.23 is: 15,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708.97 : 41,564.69 = 10,169.23 : x
  2. Step 2: Convert to fraction form
    27,708.97/41,564.69 = 10,169.23/x
  3. Step 3: Cross multiply
    27,708.97x = 41,564.69 × 10,169.23
  4. Step 4: Simplify right side
    27,708.97x = 422,680,892.49
  5. Step 5: Solve for x
    x = 422,680,892.49/27,708.97
  6. Step 6: Final answer
    x = 15,254.30

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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.