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Finding the Fourth Proportional to 12,181.68, 16,811.82 and 6,877.80

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Solution

The fourth proportional to 12,181.68, 16,811.82 and 6,877.80 is: 9,491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.68 : 16,811.82 = 6,877.80 : x
  2. Step 2: Convert to fraction form
    12,181.68/16,811.82 = 6,877.80/x
  3. Step 3: Cross multiply
    12,181.68x = 16,811.82 × 6,877.80
  4. Step 4: Simplify right side
    12,181.68x = 115,628,335.60
  5. Step 5: Solve for x
    x = 115,628,335.60/12,181.68
  6. Step 6: Final answer
    x = 9,491.99

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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.