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Finding the Fourth Proportional to 27,891.49, 38,480.75 and 17,825.74

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Solution

The fourth proportional to 27,891.49, 38,480.75 and 17,825.74 is: 24,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891.49 : 38,480.75 = 17,825.74 : x
  2. Step 2: Convert to fraction form
    27,891.49/38,480.75 = 17,825.74/x
  3. Step 3: Cross multiply
    27,891.49x = 38,480.75 × 17,825.74
  4. Step 4: Simplify right side
    27,891.49x = 685,947,792.87
  5. Step 5: Solve for x
    x = 685,947,792.87/27,891.49
  6. Step 6: Final answer
    x = 24,593.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.