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Finding the Fourth Proportional to 23,858.78, 35,794.65 and 8,277.62

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Solution

The fourth proportional to 23,858.78, 35,794.65 and 8,277.62 is: 12,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.78 : 35,794.65 = 8,277.62 : x
  2. Step 2: Convert to fraction form
    23,858.78/35,794.65 = 8,277.62/x
  3. Step 3: Cross multiply
    23,858.78x = 35,794.65 × 8,277.62
  4. Step 4: Simplify right side
    23,858.78x = 296,294,510.73
  5. Step 5: Solve for x
    x = 296,294,510.73/23,858.78
  6. Step 6: Final answer
    x = 12,418.68

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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.