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Finding the Fourth Proportional to 12,256.50, 16,914.10 and 6,667.62

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Solution

The fourth proportional to 12,256.50, 16,914.10 and 6,667.62 is: 9,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.50 : 16,914.10 = 6,667.62 : x
  2. Step 2: Convert to fraction form
    12,256.50/16,914.10 = 6,667.62/x
  3. Step 3: Cross multiply
    12,256.50x = 16,914.10 × 6,667.62
  4. Step 4: Simplify right side
    12,256.50x = 112,776,791.44
  5. Step 5: Solve for x
    x = 112,776,791.44/12,256.50
  6. Step 6: Final answer
    x = 9,201.39

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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.