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Finding the Fourth Proportional to 21,107.68, 31,660.64 and 5,524.96

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Solution

The fourth proportional to 21,107.68, 31,660.64 and 5,524.96 is: 8,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.68 : 31,660.64 = 5,524.96 : x
  2. Step 2: Convert to fraction form
    21,107.68/31,660.64 = 5,524.96/x
  3. Step 3: Cross multiply
    21,107.68x = 31,660.64 × 5,524.96
  4. Step 4: Simplify right side
    21,107.68x = 174,923,769.57
  5. Step 5: Solve for x
    x = 174,923,769.57/21,107.68
  6. Step 6: Final answer
    x = 8,287.21

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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.