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Finding the Fourth Proportional to 12,181.26, 16,809.72 and 6,803.98

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Solution

The fourth proportional to 12,181.26, 16,809.72 and 6,803.98 is: 9,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.26 : 16,809.72 = 6,803.98 : x
  2. Step 2: Convert to fraction form
    12,181.26/16,809.72 = 6,803.98/x
  3. Step 3: Cross multiply
    12,181.26x = 16,809.72 × 6,803.98
  4. Step 4: Simplify right side
    12,181.26x = 114,372,998.69
  5. Step 5: Solve for x
    x = 114,372,998.69/12,181.26
  6. Step 6: Final answer
    x = 9,389.26

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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.