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Finding the Fourth Proportional to 26,961.54, 40,442.40 and 8,241.50

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Solution

The fourth proportional to 26,961.54, 40,442.40 and 8,241.50 is: 12,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,961.54 : 40,442.40 = 8,241.50 : x
  2. Step 2: Convert to fraction form
    26,961.54/40,442.40 = 8,241.50/x
  3. Step 3: Cross multiply
    26,961.54x = 40,442.40 × 8,241.50
  4. Step 4: Simplify right side
    26,961.54x = 333,305,991.86
  5. Step 5: Solve for x
    x = 333,305,991.86/26,961.54
  6. Step 6: Final answer
    x = 12,362.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.