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Finding the Fourth Proportional to 17,371.20, 23,974.74 and 9,819.84

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Solution

The fourth proportional to 17,371.20, 23,974.74 and 9,819.84 is: 13,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,371.20 : 23,974.74 = 9,819.84 : x
  2. Step 2: Convert to fraction form
    17,371.20/23,974.74 = 9,819.84/x
  3. Step 3: Cross multiply
    17,371.20x = 23,974.74 × 9,819.84
  4. Step 4: Simplify right side
    17,371.20x = 235,428,110.84
  5. Step 5: Solve for x
    x = 235,428,110.84/17,371.20
  6. Step 6: Final answer
    x = 13,552.78

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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.