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Finding the Fourth Proportional to 23,344, 34,996.36 and 10,857.68

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Solution

The fourth proportional to 23,344, 34,996.36 and 10,857.68 is: 16,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344 : 34,996.36 = 10,857.68 : x
  2. Step 2: Convert to fraction form
    23,344/34,996.36 = 10,857.68/x
  3. Step 3: Cross multiply
    23,344x = 34,996.36 × 10,857.68
  4. Step 4: Simplify right side
    23,344x = 379,979,278.04
  5. Step 5: Solve for x
    x = 379,979,278.04/23,344
  6. Step 6: Final answer
    x = 16,277.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.