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Finding the Fourth Proportional to 16,280.60, 22,469.34 and 9,208.42

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Solution

The fourth proportional to 16,280.60, 22,469.34 and 9,208.42 is: 12,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.60 : 22,469.34 = 9,208.42 : x
  2. Step 2: Convert to fraction form
    16,280.60/22,469.34 = 9,208.42/x
  3. Step 3: Cross multiply
    16,280.60x = 22,469.34 × 9,208.42
  4. Step 4: Simplify right side
    16,280.60x = 206,907,119.84
  5. Step 5: Solve for x
    x = 206,907,119.84/16,280.60
  6. Step 6: Final answer
    x = 12,708.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.