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Finding the Fourth Proportional to 12,205.54, 16,844.34 and 6,900.82

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Solution

The fourth proportional to 12,205.54, 16,844.34 and 6,900.82 is: 9,523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.54 : 16,844.34 = 6,900.82 : x
  2. Step 2: Convert to fraction form
    12,205.54/16,844.34 = 6,900.82/x
  3. Step 3: Cross multiply
    12,205.54x = 16,844.34 × 6,900.82
  4. Step 4: Simplify right side
    12,205.54x = 116,239,758.36
  5. Step 5: Solve for x
    x = 116,239,758.36/12,205.54
  6. Step 6: Final answer
    x = 9,523.52

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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.