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Finding the Fourth Proportional to 12,251.97, 16,907.67 and 7,216.16

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Solution

The fourth proportional to 12,251.97, 16,907.67 and 7,216.16 is: 9,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.97 : 16,907.67 = 7,216.16 : x
  2. Step 2: Convert to fraction form
    12,251.97/16,907.67 = 7,216.16/x
  3. Step 3: Cross multiply
    12,251.97x = 16,907.67 × 7,216.16
  4. Step 4: Simplify right side
    12,251.97x = 122,008,367.41
  5. Step 5: Solve for x
    x = 122,008,367.41/12,251.97
  6. Step 6: Final answer
    x = 9,958.27

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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.