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Finding the Fourth Proportional to 23,819.58, 35,745.84 and 8,237.34

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Solution

The fourth proportional to 23,819.58, 35,745.84 and 8,237.34 is: 12,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.58 : 35,745.84 = 8,237.34 : x
  2. Step 2: Convert to fraction form
    23,819.58/35,745.84 = 8,237.34/x
  3. Step 3: Cross multiply
    23,819.58x = 35,745.84 × 8,237.34
  4. Step 4: Simplify right side
    23,819.58x = 294,450,637.67
  5. Step 5: Solve for x
    x = 294,450,637.67/23,819.58
  6. Step 6: Final answer
    x = 12,361.71

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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.