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Finding the Fourth Proportional to 12,207.16, 16,843.08 and 6,900.82

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Solution

The fourth proportional to 12,207.16, 16,843.08 and 6,900.82 is: 9,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.16 : 16,843.08 = 6,900.82 : x
  2. Step 2: Convert to fraction form
    12,207.16/16,843.08 = 6,900.82/x
  3. Step 3: Cross multiply
    12,207.16x = 16,843.08 × 6,900.82
  4. Step 4: Simplify right side
    12,207.16x = 116,231,063.33
  5. Step 5: Solve for x
    x = 116,231,063.33/12,207.16
  6. Step 6: Final answer
    x = 9,521.55

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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.