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Finding the Fourth Proportional to 21,249.65, 31,841.17 and 13,441.97

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Solution

The fourth proportional to 21,249.65, 31,841.17 and 13,441.97 is: 20,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249.65 : 31,841.17 = 13,441.97 : x
  2. Step 2: Convert to fraction form
    21,249.65/31,841.17 = 13,441.97/x
  3. Step 3: Cross multiply
    21,249.65x = 31,841.17 × 13,441.97
  4. Step 4: Simplify right side
    21,249.65x = 428,008,051.90
  5. Step 5: Solve for x
    x = 428,008,051.90/21,249.65
  6. Step 6: Final answer
    x = 20,141.89

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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.