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Finding the Fourth Proportional to 16,814.97, 25,188.36 and 7,796.41

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Solution

The fourth proportional to 16,814.97, 25,188.36 and 7,796.41 is: 11,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.97 : 25,188.36 = 7,796.41 : x
  2. Step 2: Convert to fraction form
    16,814.97/25,188.36 = 7,796.41/x
  3. Step 3: Cross multiply
    16,814.97x = 25,188.36 × 7,796.41
  4. Step 4: Simplify right side
    16,814.97x = 196,378,781.79
  5. Step 5: Solve for x
    x = 196,378,781.79/16,814.97
  6. Step 6: Final answer
    x = 11,678.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.