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Finding the Fourth Proportional to 12,571.42, 18,857.16 and 4,249.22

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Solution

The fourth proportional to 12,571.42, 18,857.16 and 4,249.22 is: 6,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.42 : 18,857.16 = 4,249.22 : x
  2. Step 2: Convert to fraction form
    12,571.42/18,857.16 = 4,249.22/x
  3. Step 3: Cross multiply
    12,571.42x = 18,857.16 × 4,249.22
  4. Step 4: Simplify right side
    12,571.42x = 80,128,221.42
  5. Step 5: Solve for x
    x = 80,128,221.42/12,571.42
  6. Step 6: Final answer
    x = 6,373.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.