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Finding the Fourth Proportional to 12,199.67, 18,299.22 and 5,625.84

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Solution

The fourth proportional to 12,199.67, 18,299.22 and 5,625.84 is: 8,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.67 : 18,299.22 = 5,625.84 : x
  2. Step 2: Convert to fraction form
    12,199.67/18,299.22 = 5,625.84/x
  3. Step 3: Cross multiply
    12,199.67x = 18,299.22 × 5,625.84
  4. Step 4: Simplify right side
    12,199.67x = 102,948,483.84
  5. Step 5: Solve for x
    x = 102,948,483.84/12,199.67
  6. Step 6: Final answer
    x = 8,438.63

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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.