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Finding the Fourth Proportional to 18,694.82, 25,798.50 and 10,196.96

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Solution

The fourth proportional to 18,694.82, 25,798.50 and 10,196.96 is: 14,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,694.82 : 25,798.50 = 10,196.96 : x
  2. Step 2: Convert to fraction form
    18,694.82/25,798.50 = 10,196.96/x
  3. Step 3: Cross multiply
    18,694.82x = 25,798.50 × 10,196.96
  4. Step 4: Simplify right side
    18,694.82x = 263,066,272.56
  5. Step 5: Solve for x
    x = 263,066,272.56/18,694.82
  6. Step 6: Final answer
    x = 14,071.61

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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.