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Finding the Fourth Proportional to 12,509.37, 18,768.24 and 4,190.22

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Solution

The fourth proportional to 12,509.37, 18,768.24 and 4,190.22 is: 6,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.37 : 18,768.24 = 4,190.22 : x
  2. Step 2: Convert to fraction form
    12,509.37/18,768.24 = 4,190.22/x
  3. Step 3: Cross multiply
    12,509.37x = 18,768.24 × 4,190.22
  4. Step 4: Simplify right side
    12,509.37x = 78,643,054.61
  5. Step 5: Solve for x
    x = 78,643,054.61/12,509.37
  6. Step 6: Final answer
    x = 6,286.73

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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.