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Finding the Fourth Proportional to 22,664.13, 33,961.58 and 9,509.33

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Solution

The fourth proportional to 22,664.13, 33,961.58 and 9,509.33 is: 14,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664.13 : 33,961.58 = 9,509.33 : x
  2. Step 2: Convert to fraction form
    22,664.13/33,961.58 = 9,509.33/x
  3. Step 3: Cross multiply
    22,664.13x = 33,961.58 × 9,509.33
  4. Step 4: Simplify right side
    22,664.13x = 322,951,654.19
  5. Step 5: Solve for x
    x = 322,951,654.19/22,664.13
  6. Step 6: Final answer
    x = 14,249.46

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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.