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Finding the Fourth Proportional to 12,181.16, 16,809.90 and 6,876.20

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Solution

The fourth proportional to 12,181.16, 16,809.90 and 6,876.20 is: 9,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.16 : 16,809.90 = 6,876.20 : x
  2. Step 2: Convert to fraction form
    12,181.16/16,809.90 = 6,876.20/x
  3. Step 3: Cross multiply
    12,181.16x = 16,809.90 × 6,876.20
  4. Step 4: Simplify right side
    12,181.16x = 115,588,234.38
  5. Step 5: Solve for x
    x = 115,588,234.38/12,181.16
  6. Step 6: Final answer
    x = 9,489.10

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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.