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Finding the Fourth Proportional to 12,961.78, 17,887.23 and 7,372.78

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Solution

The fourth proportional to 12,961.78, 17,887.23 and 7,372.78 is: 10,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.78 : 17,887.23 = 7,372.78 : x
  2. Step 2: Convert to fraction form
    12,961.78/17,887.23 = 7,372.78/x
  3. Step 3: Cross multiply
    12,961.78x = 17,887.23 × 7,372.78
  4. Step 4: Simplify right side
    12,961.78x = 131,878,611.60
  5. Step 5: Solve for x
    x = 131,878,611.60/12,961.78
  6. Step 6: Final answer
    x = 10,174.42

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