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Finding the Fourth Proportional to 23,764.32, 35,643.78 and 6,235.52

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Solution

The fourth proportional to 23,764.32, 35,643.78 and 6,235.52 is: 9,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764.32 : 35,643.78 = 6,235.52 : x
  2. Step 2: Convert to fraction form
    23,764.32/35,643.78 = 6,235.52/x
  3. Step 3: Cross multiply
    23,764.32x = 35,643.78 × 6,235.52
  4. Step 4: Simplify right side
    23,764.32x = 222,257,324.85
  5. Step 5: Solve for x
    x = 222,257,324.85/23,764.32
  6. Step 6: Final answer
    x = 9,352.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.