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Finding the Fourth Proportional to 22,616.66, 33,915.87 and 6,816.80

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Solution

The fourth proportional to 22,616.66, 33,915.87 and 6,816.80 is: 10,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.66 : 33,915.87 = 6,816.80 : x
  2. Step 2: Convert to fraction form
    22,616.66/33,915.87 = 6,816.80/x
  3. Step 3: Cross multiply
    22,616.66x = 33,915.87 × 6,816.80
  4. Step 4: Simplify right side
    22,616.66x = 231,197,596.63
  5. Step 5: Solve for x
    x = 231,197,596.63/22,616.66
  6. Step 6: Final answer
    x = 10,222.45

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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.