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Finding the Fourth Proportional to 21,021.75, 31,537.62 and 7,170.75

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Solution

The fourth proportional to 21,021.75, 31,537.62 and 7,170.75 is: 10,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,021.75 : 31,537.62 = 7,170.75 : x
  2. Step 2: Convert to fraction form
    21,021.75/31,537.62 = 7,170.75/x
  3. Step 3: Cross multiply
    21,021.75x = 31,537.62 × 7,170.75
  4. Step 4: Simplify right side
    21,021.75x = 226,148,388.62
  5. Step 5: Solve for x
    x = 226,148,388.62/21,021.75
  6. Step 6: Final answer
    x = 10,757.83

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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.