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Finding the Fourth Proportional to 12,119.42, 16,727.82 and 7,405.22

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Solution

The fourth proportional to 12,119.42, 16,727.82 and 7,405.22 is: 10,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.42 : 16,727.82 = 7,405.22 : x
  2. Step 2: Convert to fraction form
    12,119.42/16,727.82 = 7,405.22/x
  3. Step 3: Cross multiply
    12,119.42x = 16,727.82 × 7,405.22
  4. Step 4: Simplify right side
    12,119.42x = 123,873,187.22
  5. Step 5: Solve for x
    x = 123,873,187.22/12,119.42
  6. Step 6: Final answer
    x = 10,221.05

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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.