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Finding the Fourth Proportional to 12,121.66, 16,727.82 and 6,816.50

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Solution

The fourth proportional to 12,121.66, 16,727.82 and 6,816.50 is: 9,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.66 : 16,727.82 = 6,816.50 : x
  2. Step 2: Convert to fraction form
    12,121.66/16,727.82 = 6,816.50/x
  3. Step 3: Cross multiply
    12,121.66x = 16,727.82 × 6,816.50
  4. Step 4: Simplify right side
    12,121.66x = 114,025,185.03
  5. Step 5: Solve for x
    x = 114,025,185.03/12,121.66
  6. Step 6: Final answer
    x = 9,406.73

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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.