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Finding the Fourth Proportional to 12,185.92, 16,816.44 and 6,880.42

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Solution

The fourth proportional to 12,185.92, 16,816.44 and 6,880.42 is: 9,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.92 : 16,816.44 = 6,880.42 : x
  2. Step 2: Convert to fraction form
    12,185.92/16,816.44 = 6,880.42/x
  3. Step 3: Cross multiply
    12,185.92x = 16,816.44 × 6,880.42
  4. Step 4: Simplify right side
    12,185.92x = 115,704,170.10
  5. Step 5: Solve for x
    x = 115,704,170.10/12,185.92
  6. Step 6: Final answer
    x = 9,494.91

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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.