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Finding the Fourth Proportional to 12,282.81, 16,949.46 and 6,906.07

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Solution

The fourth proportional to 12,282.81, 16,949.46 and 6,906.07 is: 9,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.81 : 16,949.46 = 6,906.07 : x
  2. Step 2: Convert to fraction form
    12,282.81/16,949.46 = 6,906.07/x
  3. Step 3: Cross multiply
    12,282.81x = 16,949.46 × 6,906.07
  4. Step 4: Simplify right side
    12,282.81x = 117,054,157.22
  5. Step 5: Solve for x
    x = 117,054,157.22/12,282.81
  6. Step 6: Final answer
    x = 9,529.92

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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.