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Finding the Fourth Proportional to 12,205.40, 16,844.82 and 10,212.44

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Solution

The fourth proportional to 12,205.40, 16,844.82 and 10,212.44 is: 14,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.40 : 16,844.82 = 10,212.44 : x
  2. Step 2: Convert to fraction form
    12,205.40/16,844.82 = 10,212.44/x
  3. Step 3: Cross multiply
    12,205.40x = 16,844.82 × 10,212.44
  4. Step 4: Simplify right side
    12,205.40x = 172,026,713.56
  5. Step 5: Solve for x
    x = 172,026,713.56/12,205.40
  6. Step 6: Final answer
    x = 14,094.31

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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.