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Finding the Fourth Proportional to 17,661, 24,375.42 and 10,209

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Solution

The fourth proportional to 17,661, 24,375.42 and 10,209 is: 14,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661 : 24,375.42 = 10,209 : x
  2. Step 2: Convert to fraction form
    17,661/24,375.42 = 10,209/x
  3. Step 3: Cross multiply
    17,661x = 24,375.42 × 10,209
  4. Step 4: Simplify right side
    17,661x = 248,848,662.78
  5. Step 5: Solve for x
    x = 248,848,662.78/17,661
  6. Step 6: Final answer
    x = 14,090.29

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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.