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Finding the Fourth Proportional to 23,969, 33,078.66 and 13,213.85

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Solution

The fourth proportional to 23,969, 33,078.66 and 13,213.85 is: 18,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969 : 33,078.66 = 13,213.85 : x
  2. Step 2: Convert to fraction form
    23,969/33,078.66 = 13,213.85/x
  3. Step 3: Cross multiply
    23,969x = 33,078.66 × 13,213.85
  4. Step 4: Simplify right side
    23,969x = 437,096,451.44
  5. Step 5: Solve for x
    x = 437,096,451.44/23,969
  6. Step 6: Final answer
    x = 18,235.91

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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.