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Finding the Fourth Proportional to 12,462.57, 17,198.16 and 6,797.58

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Solution

The fourth proportional to 12,462.57, 17,198.16 and 6,797.58 is: 9,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.57 : 17,198.16 = 6,797.58 : x
  2. Step 2: Convert to fraction form
    12,462.57/17,198.16 = 6,797.58/x
  3. Step 3: Cross multiply
    12,462.57x = 17,198.16 × 6,797.58
  4. Step 4: Simplify right side
    12,462.57x = 116,905,868.45
  5. Step 5: Solve for x
    x = 116,905,868.45/12,462.57
  6. Step 6: Final answer
    x = 9,380.56

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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.