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Finding the Fourth Proportional to 24,512.52, 36,767.97 and 13,424.43

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Solution

The fourth proportional to 24,512.52, 36,767.97 and 13,424.43 is: 20,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.52 : 36,767.97 = 13,424.43 : x
  2. Step 2: Convert to fraction form
    24,512.52/36,767.97 = 13,424.43/x
  3. Step 3: Cross multiply
    24,512.52x = 36,767.97 × 13,424.43
  4. Step 4: Simplify right side
    24,512.52x = 493,589,039.51
  5. Step 5: Solve for x
    x = 493,589,039.51/24,512.52
  6. Step 6: Final answer
    x = 20,136.20

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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.