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Finding the Fourth Proportional to 18,682.56, 25,782.02 and 10,299.08

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Solution

The fourth proportional to 18,682.56, 25,782.02 and 10,299.08 is: 14,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682.56 : 25,782.02 = 10,299.08 : x
  2. Step 2: Convert to fraction form
    18,682.56/25,782.02 = 10,299.08/x
  3. Step 3: Cross multiply
    18,682.56x = 25,782.02 × 10,299.08
  4. Step 4: Simplify right side
    18,682.56x = 265,531,086.54
  5. Step 5: Solve for x
    x = 265,531,086.54/18,682.56
  6. Step 6: Final answer
    x = 14,212.78

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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.