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Finding the Fourth Proportional to 19,843.96, 27,385 and 10,892.29

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Solution

The fourth proportional to 19,843.96, 27,385 and 10,892.29 is: 15,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.96 : 27,385 = 10,892.29 : x
  2. Step 2: Convert to fraction form
    19,843.96/27,385 = 10,892.29/x
  3. Step 3: Cross multiply
    19,843.96x = 27,385 × 10,892.29
  4. Step 4: Simplify right side
    19,843.96x = 298,285,361.65
  5. Step 5: Solve for x
    x = 298,285,361.65/19,843.96
  6. Step 6: Final answer
    x = 15,031.54

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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.