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Finding the Fourth Proportional to 12,171.78, 16,796.46 and 7,135.32

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Solution

The fourth proportional to 12,171.78, 16,796.46 and 7,135.32 is: 9,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.78 : 16,796.46 = 7,135.32 : x
  2. Step 2: Convert to fraction form
    12,171.78/16,796.46 = 7,135.32/x
  3. Step 3: Cross multiply
    12,171.78x = 16,796.46 × 7,135.32
  4. Step 4: Simplify right side
    12,171.78x = 119,848,116.97
  5. Step 5: Solve for x
    x = 119,848,116.97/12,171.78
  6. Step 6: Final answer
    x = 9,846.39

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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.