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Finding the Fourth Proportional to 24,469.75, 33,771.14 and 14,533.75

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Solution

The fourth proportional to 24,469.75, 33,771.14 and 14,533.75 is: 20,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.75 : 33,771.14 = 14,533.75 : x
  2. Step 2: Convert to fraction form
    24,469.75/33,771.14 = 14,533.75/x
  3. Step 3: Cross multiply
    24,469.75x = 33,771.14 × 14,533.75
  4. Step 4: Simplify right side
    24,469.75x = 490,821,305.98
  5. Step 5: Solve for x
    x = 490,821,305.98/24,469.75
  6. Step 6: Final answer
    x = 20,058.29

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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.