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Finding the Fourth Proportional to 18,682.20, 25,781.60 and 10,299

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Solution

The fourth proportional to 18,682.20, 25,781.60 and 10,299 is: 14,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682.20 : 25,781.60 = 10,299 : x
  2. Step 2: Convert to fraction form
    18,682.20/25,781.60 = 10,299/x
  3. Step 3: Cross multiply
    18,682.20x = 25,781.60 × 10,299
  4. Step 4: Simplify right side
    18,682.20x = 265,524,698.40
  5. Step 5: Solve for x
    x = 265,524,698.40/18,682.20
  6. Step 6: Final answer
    x = 14,212.71

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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.