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Finding the Fourth Proportional to 12,863.93, 19,297.31 and 4,096.82

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Solution

The fourth proportional to 12,863.93, 19,297.31 and 4,096.82 is: 6,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.93 : 19,297.31 = 4,096.82 : x
  2. Step 2: Convert to fraction form
    12,863.93/19,297.31 = 4,096.82/x
  3. Step 3: Cross multiply
    12,863.93x = 19,297.31 × 4,096.82
  4. Step 4: Simplify right side
    12,863.93x = 79,057,633.31
  5. Step 5: Solve for x
    x = 79,057,633.31/12,863.93
  6. Step 6: Final answer
    x = 6,145.69

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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.