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Finding the Fourth Proportional to 12,375.21, 17,076.16 and 6,998.39

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Solution

The fourth proportional to 12,375.21, 17,076.16 and 6,998.39 is: 9,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.21 : 17,076.16 = 6,998.39 : x
  2. Step 2: Convert to fraction form
    12,375.21/17,076.16 = 6,998.39/x
  3. Step 3: Cross multiply
    12,375.21x = 17,076.16 × 6,998.39
  4. Step 4: Simplify right side
    12,375.21x = 119,505,627.38
  5. Step 5: Solve for x
    x = 119,505,627.38/12,375.21
  6. Step 6: Final answer
    x = 9,656.86

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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.