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Finding the Fourth Proportional to 12,090.99, 16,685.82 and 6,786.17

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Solution

The fourth proportional to 12,090.99, 16,685.82 and 6,786.17 is: 9,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.99 : 16,685.82 = 6,786.17 : x
  2. Step 2: Convert to fraction form
    12,090.99/16,685.82 = 6,786.17/x
  3. Step 3: Cross multiply
    12,090.99x = 16,685.82 × 6,786.17
  4. Step 4: Simplify right side
    12,090.99x = 113,232,727.68
  5. Step 5: Solve for x
    x = 113,232,727.68/12,090.99
  6. Step 6: Final answer
    x = 9,365.05

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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.