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Finding the Fourth Proportional to 23,963.40, 35,949.36 and 8,167.60

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Solution

The fourth proportional to 23,963.40, 35,949.36 and 8,167.60 is: 12,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,963.40 : 35,949.36 = 8,167.60 : x
  2. Step 2: Convert to fraction form
    23,963.40/35,949.36 = 8,167.60/x
  3. Step 3: Cross multiply
    23,963.40x = 35,949.36 × 8,167.60
  4. Step 4: Simplify right side
    23,963.40x = 293,619,992.74
  5. Step 5: Solve for x
    x = 293,619,992.74/23,963.40
  6. Step 6: Final answer
    x = 12,252.85

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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.