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Finding the Fourth Proportional to 12,181.38, 16,810.80 and 6,876.20

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Solution

The fourth proportional to 12,181.38, 16,810.80 and 6,876.20 is: 9,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.38 : 16,810.80 = 6,876.20 : x
  2. Step 2: Convert to fraction form
    12,181.38/16,810.80 = 6,876.20/x
  3. Step 3: Cross multiply
    12,181.38x = 16,810.80 × 6,876.20
  4. Step 4: Simplify right side
    12,181.38x = 115,594,422.96
  5. Step 5: Solve for x
    x = 115,594,422.96/12,181.38
  6. Step 6: Final answer
    x = 9,489.44

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Why These Related Problems?

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