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Finding the Fourth Proportional to 14,911.97, 20,578.56 and 8,198.28

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Solution

The fourth proportional to 14,911.97, 20,578.56 and 8,198.28 is: 11,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.97 : 20,578.56 = 8,198.28 : x
  2. Step 2: Convert to fraction form
    14,911.97/20,578.56 = 8,198.28/x
  3. Step 3: Cross multiply
    14,911.97x = 20,578.56 × 8,198.28
  4. Step 4: Simplify right side
    14,911.97x = 168,708,766.13
  5. Step 5: Solve for x
    x = 168,708,766.13/14,911.97
  6. Step 6: Final answer
    x = 11,313.65

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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.