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Finding the Fourth Proportional to 12,233.12, 16,882.04 and 6,644.12

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Solution

The fourth proportional to 12,233.12, 16,882.04 and 6,644.12 is: 9,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.12 : 16,882.04 = 6,644.12 : x
  2. Step 2: Convert to fraction form
    12,233.12/16,882.04 = 6,644.12/x
  3. Step 3: Cross multiply
    12,233.12x = 16,882.04 × 6,644.12
  4. Step 4: Simplify right side
    12,233.12x = 112,166,266.38
  5. Step 5: Solve for x
    x = 112,166,266.38/12,233.12
  6. Step 6: Final answer
    x = 9,169.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.