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Finding the Fourth Proportional to 23,826.56, 35,740.38 and 9,042.44

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Solution

The fourth proportional to 23,826.56, 35,740.38 and 9,042.44 is: 13,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.56 : 35,740.38 = 9,042.44 : x
  2. Step 2: Convert to fraction form
    23,826.56/35,740.38 = 9,042.44/x
  3. Step 3: Cross multiply
    23,826.56x = 35,740.38 × 9,042.44
  4. Step 4: Simplify right side
    23,826.56x = 323,180,241.73
  5. Step 5: Solve for x
    x = 323,180,241.73/23,826.56
  6. Step 6: Final answer
    x = 13,563.86

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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.