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Finding the Fourth Proportional to 23,801.24, 35,704.91 and 7,999.49

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Solution

The fourth proportional to 23,801.24, 35,704.91 and 7,999.49 is: 12,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.24 : 35,704.91 = 7,999.49 : x
  2. Step 2: Convert to fraction form
    23,801.24/35,704.91 = 7,999.49/x
  3. Step 3: Cross multiply
    23,801.24x = 35,704.91 × 7,999.49
  4. Step 4: Simplify right side
    23,801.24x = 285,621,070.50
  5. Step 5: Solve for x
    x = 285,621,070.50/23,801.24
  6. Step 6: Final answer
    x = 12,000.26

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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.