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Finding the Fourth Proportional to 17,644.29, 24,349.50 and 10,091.31

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Solution

The fourth proportional to 17,644.29, 24,349.50 and 10,091.31 is: 13,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.29 : 24,349.50 = 10,091.31 : x
  2. Step 2: Convert to fraction form
    17,644.29/24,349.50 = 10,091.31/x
  3. Step 3: Cross multiply
    17,644.29x = 24,349.50 × 10,091.31
  4. Step 4: Simplify right side
    17,644.29x = 245,718,352.85
  5. Step 5: Solve for x
    x = 245,718,352.85/17,644.29
  6. Step 6: Final answer
    x = 13,926.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.