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Finding the Fourth Proportional to 12,424.82, 18,637.23 and 3,190.82

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Solution

The fourth proportional to 12,424.82, 18,637.23 and 3,190.82 is: 4,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.82 : 18,637.23 = 3,190.82 : x
  2. Step 2: Convert to fraction form
    12,424.82/18,637.23 = 3,190.82/x
  3. Step 3: Cross multiply
    12,424.82x = 18,637.23 × 3,190.82
  4. Step 4: Simplify right side
    12,424.82x = 59,468,046.23
  5. Step 5: Solve for x
    x = 59,468,046.23/12,424.82
  6. Step 6: Final answer
    x = 4,786.23

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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.