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Finding the Fourth Proportional to 24,469.26, 33,769.93 and 13,714.08

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Solution

The fourth proportional to 24,469.26, 33,769.93 and 13,714.08 is: 18,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.26 : 33,769.93 = 13,714.08 : x
  2. Step 2: Convert to fraction form
    24,469.26/33,769.93 = 13,714.08/x
  3. Step 3: Cross multiply
    24,469.26x = 33,769.93 × 13,714.08
  4. Step 4: Simplify right side
    24,469.26x = 463,123,487.33
  5. Step 5: Solve for x
    x = 463,123,487.33/24,469.26
  6. Step 6: Final answer
    x = 18,926.75

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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.