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Finding the Fourth Proportional to 23,796.24, 35,670.06 and 8,200.50

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Solution

The fourth proportional to 23,796.24, 35,670.06 and 8,200.50 is: 12,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.24 : 35,670.06 = 8,200.50 : x
  2. Step 2: Convert to fraction form
    23,796.24/35,670.06 = 8,200.50/x
  3. Step 3: Cross multiply
    23,796.24x = 35,670.06 × 8,200.50
  4. Step 4: Simplify right side
    23,796.24x = 292,512,327.03
  5. Step 5: Solve for x
    x = 292,512,327.03/23,796.24
  6. Step 6: Final answer
    x = 12,292.38

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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.