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Finding the Fourth Proportional to 24,384.23, 33,650.22 and 13,206.23

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Solution

The fourth proportional to 24,384.23, 33,650.22 and 13,206.23 is: 18,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.23 : 33,650.22 = 13,206.23 : x
  2. Step 2: Convert to fraction form
    24,384.23/33,650.22 = 13,206.23/x
  3. Step 3: Cross multiply
    24,384.23x = 33,650.22 × 13,206.23
  4. Step 4: Simplify right side
    24,384.23x = 444,392,544.87
  5. Step 5: Solve for x
    x = 444,392,544.87/24,384.23
  6. Step 6: Final answer
    x = 18,224.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.