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Finding the Fourth Proportional to 12,181.50, 16,809.04 and 6,876

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Solution

The fourth proportional to 12,181.50, 16,809.04 and 6,876 is: 9,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.50 : 16,809.04 = 6,876 : x
  2. Step 2: Convert to fraction form
    12,181.50/16,809.04 = 6,876/x
  3. Step 3: Cross multiply
    12,181.50x = 16,809.04 × 6,876
  4. Step 4: Simplify right side
    12,181.50x = 115,578,959.04
  5. Step 5: Solve for x
    x = 115,578,959.04/12,181.50
  6. Step 6: Final answer
    x = 9,488.07

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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.