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Finding the Fourth Proportional to 12,181.68, 16,809.78 and 6,877.02

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Solution

The fourth proportional to 12,181.68, 16,809.78 and 6,877.02 is: 9,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.68 : 16,809.78 = 6,877.02 : x
  2. Step 2: Convert to fraction form
    12,181.68/16,809.78 = 6,877.02/x
  3. Step 3: Cross multiply
    12,181.68x = 16,809.78 × 6,877.02
  4. Step 4: Simplify right side
    12,181.68x = 115,601,193.26
  5. Step 5: Solve for x
    x = 115,601,193.26/12,181.68
  6. Step 6: Final answer
    x = 9,489.76

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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.