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Finding the Fourth Proportional to 17,546, 24,213.50 and 10,094

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Solution

The fourth proportional to 17,546, 24,213.50 and 10,094 is: 13,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546 : 24,213.50 = 10,094 : x
  2. Step 2: Convert to fraction form
    17,546/24,213.50 = 10,094/x
  3. Step 3: Cross multiply
    17,546x = 24,213.50 × 10,094
  4. Step 4: Simplify right side
    17,546x = 244,411,069
  5. Step 5: Solve for x
    x = 244,411,069/17,546
  6. Step 6: Final answer
    x = 13,929.73

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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.