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Finding the Fourth Proportional to 12,205.99, 16,858.11 and 8,220.19

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Solution

The fourth proportional to 12,205.99, 16,858.11 and 8,220.19 is: 11,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.99 : 16,858.11 = 8,220.19 : x
  2. Step 2: Convert to fraction form
    12,205.99/16,858.11 = 8,220.19/x
  3. Step 3: Cross multiply
    12,205.99x = 16,858.11 × 8,220.19
  4. Step 4: Simplify right side
    12,205.99x = 138,576,867.24
  5. Step 5: Solve for x
    x = 138,576,867.24/12,205.99
  6. Step 6: Final answer
    x = 11,353.19

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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.