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Finding the Fourth Proportional to 23,216.37, 34,838.39 and 8,426.44

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Solution

The fourth proportional to 23,216.37, 34,838.39 and 8,426.44 is: 12,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.37 : 34,838.39 = 8,426.44 : x
  2. Step 2: Convert to fraction form
    23,216.37/34,838.39 = 8,426.44/x
  3. Step 3: Cross multiply
    23,216.37x = 34,838.39 × 8,426.44
  4. Step 4: Simplify right side
    23,216.37x = 293,563,473.80
  5. Step 5: Solve for x
    x = 293,563,473.80/23,216.37
  6. Step 6: Final answer
    x = 12,644.68

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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.