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Finding the Fourth Proportional to 12,161.54, 16,782.09 and 6,855.23

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Solution

The fourth proportional to 12,161.54, 16,782.09 and 6,855.23 is: 9,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.54 : 16,782.09 = 6,855.23 : x
  2. Step 2: Convert to fraction form
    12,161.54/16,782.09 = 6,855.23/x
  3. Step 3: Cross multiply
    12,161.54x = 16,782.09 × 6,855.23
  4. Step 4: Simplify right side
    12,161.54x = 115,045,103.08
  5. Step 5: Solve for x
    x = 115,045,103.08/12,161.54
  6. Step 6: Final answer
    x = 9,459.75

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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.