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Finding the Fourth Proportional to 18,682, 25,781.70 and 10,299.04

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Solution

The fourth proportional to 18,682, 25,781.70 and 10,299.04 is: 14,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682 : 25,781.70 = 10,299.04 : x
  2. Step 2: Convert to fraction form
    18,682/25,781.70 = 10,299.04/x
  3. Step 3: Cross multiply
    18,682x = 25,781.70 × 10,299.04
  4. Step 4: Simplify right side
    18,682x = 265,526,759.57
  5. Step 5: Solve for x
    x = 265,526,759.57/18,682
  6. Step 6: Final answer
    x = 14,212.97

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Why These Related Problems?

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