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Finding the Fourth Proportional to 27,744.50, 38,287.41 and 17,825.78

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Solution

The fourth proportional to 27,744.50, 38,287.41 and 17,825.78 is: 24,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.50 : 38,287.41 = 17,825.78 : x
  2. Step 2: Convert to fraction form
    27,744.50/38,287.41 = 17,825.78/x
  3. Step 3: Cross multiply
    27,744.50x = 38,287.41 × 17,825.78
  4. Step 4: Simplify right side
    27,744.50x = 682,502,947.43
  5. Step 5: Solve for x
    x = 682,502,947.43/27,744.50
  6. Step 6: Final answer
    x = 24,599.58

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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.