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Finding the Fourth Proportional to 23,764.60, 35,644.16 and 6,235.80

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Solution

The fourth proportional to 23,764.60, 35,644.16 and 6,235.80 is: 9,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764.60 : 35,644.16 = 6,235.80 : x
  2. Step 2: Convert to fraction form
    23,764.60/35,644.16 = 6,235.80/x
  3. Step 3: Cross multiply
    23,764.60x = 35,644.16 × 6,235.80
  4. Step 4: Simplify right side
    23,764.60x = 222,269,734.85
  5. Step 5: Solve for x
    x = 222,269,734.85/23,764.60
  6. Step 6: Final answer
    x = 9,352.98

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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.