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Finding the Fourth Proportional to 23,840.30, 35,760.48 and 8,257.92

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Solution

The fourth proportional to 23,840.30, 35,760.48 and 8,257.92 is: 12,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.30 : 35,760.48 = 8,257.92 : x
  2. Step 2: Convert to fraction form
    23,840.30/35,760.48 = 8,257.92/x
  3. Step 3: Cross multiply
    23,840.30x = 35,760.48 × 8,257.92
  4. Step 4: Simplify right side
    23,840.30x = 295,307,183.00
  5. Step 5: Solve for x
    x = 295,307,183.00/23,840.30
  6. Step 6: Final answer
    x = 12,386.89

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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.