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Finding the Fourth Proportional to 12,201.76, 16,838.56 and 6,896.64

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Solution

The fourth proportional to 12,201.76, 16,838.56 and 6,896.64 is: 9,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.76 : 16,838.56 = 6,896.64 : x
  2. Step 2: Convert to fraction form
    12,201.76/16,838.56 = 6,896.64/x
  3. Step 3: Cross multiply
    12,201.76x = 16,838.56 × 6,896.64
  4. Step 4: Simplify right side
    12,201.76x = 116,129,486.44
  5. Step 5: Solve for x
    x = 116,129,486.44/12,201.76
  6. Step 6: Final answer
    x = 9,517.44

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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.