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Finding the Fourth Proportional to 23,469.80, 35,204.09 and 7,887.42

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Solution

The fourth proportional to 23,469.80, 35,204.09 and 7,887.42 is: 11,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,469.80 : 35,204.09 = 7,887.42 : x
  2. Step 2: Convert to fraction form
    23,469.80/35,204.09 = 7,887.42/x
  3. Step 3: Cross multiply
    23,469.80x = 35,204.09 × 7,887.42
  4. Step 4: Simplify right side
    23,469.80x = 277,669,404.11
  5. Step 5: Solve for x
    x = 277,669,404.11/23,469.80
  6. Step 6: Final answer
    x = 11,830.93

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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.