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Finding the Fourth Proportional to 12,754.49, 19,131.93 and 4,857.44

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Solution

The fourth proportional to 12,754.49, 19,131.93 and 4,857.44 is: 7,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.49 : 19,131.93 = 4,857.44 : x
  2. Step 2: Convert to fraction form
    12,754.49/19,131.93 = 4,857.44/x
  3. Step 3: Cross multiply
    12,754.49x = 19,131.93 × 4,857.44
  4. Step 4: Simplify right side
    12,754.49x = 92,932,240.78
  5. Step 5: Solve for x
    x = 92,932,240.78/12,754.49
  6. Step 6: Final answer
    x = 7,286.24

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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.