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Finding the Fourth Proportional to 21,849.75, 32,771.84 and 7,057.13

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Solution

The fourth proportional to 21,849.75, 32,771.84 and 7,057.13 is: 10,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.75 : 32,771.84 = 7,057.13 : x
  2. Step 2: Convert to fraction form
    21,849.75/32,771.84 = 7,057.13/x
  3. Step 3: Cross multiply
    21,849.75x = 32,771.84 × 7,057.13
  4. Step 4: Simplify right side
    21,849.75x = 231,274,936.07
  5. Step 5: Solve for x
    x = 231,274,936.07/21,849.75
  6. Step 6: Final answer
    x = 10,584.79

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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.