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Finding the Fourth Proportional to 23,796.96, 35,694 and 6,266.76

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Solution

The fourth proportional to 23,796.96, 35,694 and 6,266.76 is: 9,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.96 : 35,694 = 6,266.76 : x
  2. Step 2: Convert to fraction form
    23,796.96/35,694 = 6,266.76/x
  3. Step 3: Cross multiply
    23,796.96x = 35,694 × 6,266.76
  4. Step 4: Simplify right side
    23,796.96x = 223,685,731.44
  5. Step 5: Solve for x
    x = 223,685,731.44/23,796.96
  6. Step 6: Final answer
    x = 9,399.76

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Why These Related Problems?

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