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Finding the Fourth Proportional to 12,863.57, 19,285.64 and 4,093.43

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Solution

The fourth proportional to 12,863.57, 19,285.64 and 4,093.43 is: 6,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.57 : 19,285.64 = 4,093.43 : x
  2. Step 2: Convert to fraction form
    12,863.57/19,285.64 = 4,093.43/x
  3. Step 3: Cross multiply
    12,863.57x = 19,285.64 × 4,093.43
  4. Step 4: Simplify right side
    12,863.57x = 78,944,396.88
  5. Step 5: Solve for x
    x = 78,944,396.88/12,863.57
  6. Step 6: Final answer
    x = 6,137.05

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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.