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Finding the Fourth Proportional to 12,524.49, 18,782.41 and 3,637.41

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Solution

The fourth proportional to 12,524.49, 18,782.41 and 3,637.41 is: 5,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.49 : 18,782.41 = 3,637.41 : x
  2. Step 2: Convert to fraction form
    12,524.49/18,782.41 = 3,637.41/x
  3. Step 3: Cross multiply
    12,524.49x = 18,782.41 × 3,637.41
  4. Step 4: Simplify right side
    12,524.49x = 68,319,325.96
  5. Step 5: Solve for x
    x = 68,319,325.96/12,524.49
  6. Step 6: Final answer
    x = 5,454.86

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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.