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Finding the Fourth Proportional to 23,579.63, 35,372.97 and 7,786.33

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Solution

The fourth proportional to 23,579.63, 35,372.97 and 7,786.33 is: 11,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,579.63 : 35,372.97 = 7,786.33 : x
  2. Step 2: Convert to fraction form
    23,579.63/35,372.97 = 7,786.33/x
  3. Step 3: Cross multiply
    23,579.63x = 35,372.97 × 7,786.33
  4. Step 4: Simplify right side
    23,579.63x = 275,425,617.50
  5. Step 5: Solve for x
    x = 275,425,617.50/23,579.63
  6. Step 6: Final answer
    x = 11,680.66

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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.