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Finding the Fourth Proportional to 21,772, 30,045.60 and 11,836

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Solution

The fourth proportional to 21,772, 30,045.60 and 11,836 is: 16,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772 : 30,045.60 = 11,836 : x
  2. Step 2: Convert to fraction form
    21,772/30,045.60 = 11,836/x
  3. Step 3: Cross multiply
    21,772x = 30,045.60 × 11,836
  4. Step 4: Simplify right side
    21,772x = 355,619,721.60
  5. Step 5: Solve for x
    x = 355,619,721.60/21,772
  6. Step 6: Final answer
    x = 16,333.81

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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.