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Finding the Fourth Proportional to 12,199.29, 18,305.86 and 5,625.48

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Solution

The fourth proportional to 12,199.29, 18,305.86 and 5,625.48 is: 8,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.29 : 18,305.86 = 5,625.48 : x
  2. Step 2: Convert to fraction form
    12,199.29/18,305.86 = 5,625.48/x
  3. Step 3: Cross multiply
    12,199.29x = 18,305.86 × 5,625.48
  4. Step 4: Simplify right side
    12,199.29x = 102,979,249.31
  5. Step 5: Solve for x
    x = 102,979,249.31/12,199.29
  6. Step 6: Final answer
    x = 8,441.41

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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.