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Finding the Fourth Proportional to 24,384.92, 33,651.34 and 13,206.92

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Solution

The fourth proportional to 24,384.92, 33,651.34 and 13,206.92 is: 18,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.92 : 33,651.34 = 13,206.92 : x
  2. Step 2: Convert to fraction form
    24,384.92/33,651.34 = 13,206.92/x
  3. Step 3: Cross multiply
    24,384.92x = 33,651.34 × 13,206.92
  4. Step 4: Simplify right side
    24,384.92x = 444,430,555.27
  5. Step 5: Solve for x
    x = 444,430,555.27/24,384.92
  6. Step 6: Final answer
    x = 18,225.63

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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.