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Finding the Fourth Proportional to 24,469, 33,770.10 and 14,533

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Solution

The fourth proportional to 24,469, 33,770.10 and 14,533 is: 20,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469 : 33,770.10 = 14,533 : x
  2. Step 2: Convert to fraction form
    24,469/33,770.10 = 14,533/x
  3. Step 3: Cross multiply
    24,469x = 33,770.10 × 14,533
  4. Step 4: Simplify right side
    24,469x = 490,780,863.30
  5. Step 5: Solve for x
    x = 490,780,863.30/24,469
  6. Step 6: Final answer
    x = 20,057.25

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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.