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Finding the Fourth Proportional to 11,826.78, 17,745.60 and 4,431.84

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Solution

The fourth proportional to 11,826.78, 17,745.60 and 4,431.84 is: 6,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.78 : 17,745.60 = 4,431.84 : x
  2. Step 2: Convert to fraction form
    11,826.78/17,745.60 = 4,431.84/x
  3. Step 3: Cross multiply
    11,826.78x = 17,745.60 × 4,431.84
  4. Step 4: Simplify right side
    11,826.78x = 78,645,659.90
  5. Step 5: Solve for x
    x = 78,645,659.90/11,826.78
  6. Step 6: Final answer
    x = 6,649.79

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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.