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Finding the Fourth Proportional to 24,489, 33,795.09 and 13,311

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Solution

The fourth proportional to 24,489, 33,795.09 and 13,311 is: 18,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489 : 33,795.09 = 13,311 : x
  2. Step 2: Convert to fraction form
    24,489/33,795.09 = 13,311/x
  3. Step 3: Cross multiply
    24,489x = 33,795.09 × 13,311
  4. Step 4: Simplify right side
    24,489x = 449,846,442.99
  5. Step 5: Solve for x
    x = 449,846,442.99/24,489
  6. Step 6: Final answer
    x = 18,369.33

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Why These Related Problems?

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