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Finding the Fourth Proportional to 11,270.80, 16,906.20 and 10,838.80

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Solution

The fourth proportional to 11,270.80, 16,906.20 and 10,838.80 is: 16,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.80 : 16,906.20 = 10,838.80 : x
  2. Step 2: Convert to fraction form
    11,270.80/16,906.20 = 10,838.80/x
  3. Step 3: Cross multiply
    11,270.80x = 16,906.20 × 10,838.80
  4. Step 4: Simplify right side
    11,270.80x = 183,242,920.56
  5. Step 5: Solve for x
    x = 183,242,920.56/11,270.80
  6. Step 6: Final answer
    x = 16,258.20

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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.