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Finding the Fourth Proportional to 12,454.11, 17,185.64 and 7,147.80

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Solution

The fourth proportional to 12,454.11, 17,185.64 and 7,147.80 is: 9,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.11 : 17,185.64 = 7,147.80 : x
  2. Step 2: Convert to fraction form
    12,454.11/17,185.64 = 7,147.80/x
  3. Step 3: Cross multiply
    12,454.11x = 17,185.64 × 7,147.80
  4. Step 4: Simplify right side
    12,454.11x = 122,839,481.85
  5. Step 5: Solve for x
    x = 122,839,481.85/12,454.11
  6. Step 6: Final answer
    x = 9,863.37

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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.