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Finding the Fourth Proportional to 12,846.43, 19,267.21 and 4,081.42

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Solution

The fourth proportional to 12,846.43, 19,267.21 and 4,081.42 is: 6,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.43 : 19,267.21 = 4,081.42 : x
  2. Step 2: Convert to fraction form
    12,846.43/19,267.21 = 4,081.42/x
  3. Step 3: Cross multiply
    12,846.43x = 19,267.21 × 4,081.42
  4. Step 4: Simplify right side
    12,846.43x = 78,637,576.24
  5. Step 5: Solve for x
    x = 78,637,576.24/12,846.43
  6. Step 6: Final answer
    x = 6,121.36

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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.