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Finding the Fourth Proportional to 21,910.37, 32,868.99 and 7,682.75

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Solution

The fourth proportional to 21,910.37, 32,868.99 and 7,682.75 is: 11,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.37 : 32,868.99 = 7,682.75 : x
  2. Step 2: Convert to fraction form
    21,910.37/32,868.99 = 7,682.75/x
  3. Step 3: Cross multiply
    21,910.37x = 32,868.99 × 7,682.75
  4. Step 4: Simplify right side
    21,910.37x = 252,524,191.84
  5. Step 5: Solve for x
    x = 252,524,191.84/21,910.37
  6. Step 6: Final answer
    x = 11,525.33

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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.