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Finding the Fourth Proportional to 23,777.82, 35,664.03 and 6,249.02

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Solution

The fourth proportional to 23,777.82, 35,664.03 and 6,249.02 is: 9,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.82 : 35,664.03 = 6,249.02 : x
  2. Step 2: Convert to fraction form
    23,777.82/35,664.03 = 6,249.02/x
  3. Step 3: Cross multiply
    23,777.82x = 35,664.03 × 6,249.02
  4. Step 4: Simplify right side
    23,777.82x = 222,865,058.43
  5. Step 5: Solve for x
    x = 222,865,058.43/23,777.82
  6. Step 6: Final answer
    x = 9,372.81

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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.