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Finding the Fourth Proportional to 12,207.49, 16,846.14 and 6,902.11

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Solution

The fourth proportional to 12,207.49, 16,846.14 and 6,902.11 is: 9,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.49 : 16,846.14 = 6,902.11 : x
  2. Step 2: Convert to fraction form
    12,207.49/16,846.14 = 6,902.11/x
  3. Step 3: Cross multiply
    12,207.49x = 16,846.14 × 6,902.11
  4. Step 4: Simplify right side
    12,207.49x = 116,273,911.36
  5. Step 5: Solve for x
    x = 116,273,911.36/12,207.49
  6. Step 6: Final answer
    x = 9,524.80

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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.