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Finding the Fourth Proportional to 12,797.68, 17,669.81 and 8,977.44

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Solution

The fourth proportional to 12,797.68, 17,669.81 and 8,977.44 is: 12,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.68 : 17,669.81 = 8,977.44 : x
  2. Step 2: Convert to fraction form
    12,797.68/17,669.81 = 8,977.44/x
  3. Step 3: Cross multiply
    12,797.68x = 17,669.81 × 8,977.44
  4. Step 4: Simplify right side
    12,797.68x = 158,629,659.09
  5. Step 5: Solve for x
    x = 158,629,659.09/12,797.68
  6. Step 6: Final answer
    x = 12,395.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.