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Finding the Fourth Proportional to 12,204.38, 16,841.84 and 6,826.94

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Solution

The fourth proportional to 12,204.38, 16,841.84 and 6,826.94 is: 9,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.38 : 16,841.84 = 6,826.94 : x
  2. Step 2: Convert to fraction form
    12,204.38/16,841.84 = 6,826.94/x
  3. Step 3: Cross multiply
    12,204.38x = 16,841.84 × 6,826.94
  4. Step 4: Simplify right side
    12,204.38x = 114,978,197.03
  5. Step 5: Solve for x
    x = 114,978,197.03/12,204.38
  6. Step 6: Final answer
    x = 9,421.06

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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.