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Finding the Fourth Proportional to 34,578.64, 51,864.18 and 11,198.80

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Solution

The fourth proportional to 34,578.64, 51,864.18 and 11,198.80 is: 16,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578.64 : 51,864.18 = 11,198.80 : x
  2. Step 2: Convert to fraction form
    34,578.64/51,864.18 = 11,198.80/x
  3. Step 3: Cross multiply
    34,578.64x = 51,864.18 × 11,198.80
  4. Step 4: Simplify right side
    34,578.64x = 580,816,578.98
  5. Step 5: Solve for x
    x = 580,816,578.98/34,578.64
  6. Step 6: Final answer
    x = 16,796.98

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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.