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Finding the Fourth Proportional to 12,863.26, 19,294.84 and 8,448.78

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Solution

The fourth proportional to 12,863.26, 19,294.84 and 8,448.78 is: 12,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.26 : 19,294.84 = 8,448.78 : x
  2. Step 2: Convert to fraction form
    12,863.26/19,294.84 = 8,448.78/x
  3. Step 3: Cross multiply
    12,863.26x = 19,294.84 × 8,448.78
  4. Step 4: Simplify right side
    12,863.26x = 163,017,858.30
  5. Step 5: Solve for x
    x = 163,017,858.30/12,863.26
  6. Step 6: Final answer
    x = 12,673.14

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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.