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Finding the Fourth Proportional to 23,830.56, 35,745.84 and 8,239.68

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Solution

The fourth proportional to 23,830.56, 35,745.84 and 8,239.68 is: 12,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.56 : 35,745.84 = 8,239.68 : x
  2. Step 2: Convert to fraction form
    23,830.56/35,745.84 = 8,239.68/x
  3. Step 3: Cross multiply
    23,830.56x = 35,745.84 × 8,239.68
  4. Step 4: Simplify right side
    23,830.56x = 294,534,282.93
  5. Step 5: Solve for x
    x = 294,534,282.93/23,830.56
  6. Step 6: Final answer
    x = 12,359.52

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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.