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Finding the Fourth Proportional to 15,698.11, 23,519.49 and 8,286.24

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Solution

The fourth proportional to 15,698.11, 23,519.49 and 8,286.24 is: 12,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.11 : 23,519.49 = 8,286.24 : x
  2. Step 2: Convert to fraction form
    15,698.11/23,519.49 = 8,286.24/x
  3. Step 3: Cross multiply
    15,698.11x = 23,519.49 × 8,286.24
  4. Step 4: Simplify right side
    15,698.11x = 194,888,138.82
  5. Step 5: Solve for x
    x = 194,888,138.82/15,698.11
  6. Step 6: Final answer
    x = 12,414.75

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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.