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Finding the Fourth Proportional to 12,208.16, 16,846.98 and 6,902.66

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Solution

The fourth proportional to 12,208.16, 16,846.98 and 6,902.66 is: 9,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.16 : 16,846.98 = 6,902.66 : x
  2. Step 2: Convert to fraction form
    12,208.16/16,846.98 = 6,902.66/x
  3. Step 3: Cross multiply
    12,208.16x = 16,846.98 × 6,902.66
  4. Step 4: Simplify right side
    12,208.16x = 116,288,974.97
  5. Step 5: Solve for x
    x = 116,288,974.97/12,208.16
  6. Step 6: Final answer
    x = 9,525.51

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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.