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Finding the Fourth Proportional to 12,205.44, 16,857.33 and 8,219.63

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Solution

The fourth proportional to 12,205.44, 16,857.33 and 8,219.63 is: 11,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.44 : 16,857.33 = 8,219.63 : x
  2. Step 2: Convert to fraction form
    12,205.44/16,857.33 = 8,219.63/x
  3. Step 3: Cross multiply
    12,205.44x = 16,857.33 × 8,219.63
  4. Step 4: Simplify right side
    12,205.44x = 138,561,015.39
  5. Step 5: Solve for x
    x = 138,561,015.39/12,205.44
  6. Step 6: Final answer
    x = 11,352.40

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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.