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Finding the Fourth Proportional to 23,796.94, 35,691.99 and 6,266.77

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Solution

The fourth proportional to 23,796.94, 35,691.99 and 6,266.77 is: 9,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.94 : 35,691.99 = 6,266.77 : x
  2. Step 2: Convert to fraction form
    23,796.94/35,691.99 = 6,266.77/x
  3. Step 3: Cross multiply
    23,796.94x = 35,691.99 × 6,266.77
  4. Step 4: Simplify right side
    23,796.94x = 223,673,414.69
  5. Step 5: Solve for x
    x = 223,673,414.69/23,796.94
  6. Step 6: Final answer
    x = 9,399.25

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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.