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Finding the Fourth Proportional to 12,183.88, 16,814.16 and 7,467.25

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Solution

The fourth proportional to 12,183.88, 16,814.16 and 7,467.25 is: 10,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.88 : 16,814.16 = 7,467.25 : x
  2. Step 2: Convert to fraction form
    12,183.88/16,814.16 = 7,467.25/x
  3. Step 3: Cross multiply
    12,183.88x = 16,814.16 × 7,467.25
  4. Step 4: Simplify right side
    12,183.88x = 125,555,536.26
  5. Step 5: Solve for x
    x = 125,555,536.26/12,183.88
  6. Step 6: Final answer
    x = 10,305.05

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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.