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Finding the Fourth Proportional to 12,863.68, 19,295.66 and 5,463.52

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Solution

The fourth proportional to 12,863.68, 19,295.66 and 5,463.52 is: 8,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.68 : 19,295.66 = 5,463.52 : x
  2. Step 2: Convert to fraction form
    12,863.68/19,295.66 = 5,463.52/x
  3. Step 3: Cross multiply
    12,863.68x = 19,295.66 × 5,463.52
  4. Step 4: Simplify right side
    12,863.68x = 105,422,224.32
  5. Step 5: Solve for x
    x = 105,422,224.32/12,863.68
  6. Step 6: Final answer
    x = 8,195.34

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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.