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Finding the Fourth Proportional to 12,410.92, 17,107.09 and 10,168.84

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Solution

The fourth proportional to 12,410.92, 17,107.09 and 10,168.84 is: 14,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.92 : 17,107.09 = 10,168.84 : x
  2. Step 2: Convert to fraction form
    12,410.92/17,107.09 = 10,168.84/x
  3. Step 3: Cross multiply
    12,410.92x = 17,107.09 × 10,168.84
  4. Step 4: Simplify right side
    12,410.92x = 173,959,261.08
  5. Step 5: Solve for x
    x = 173,959,261.08/12,410.92
  6. Step 6: Final answer
    x = 14,016.63

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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.