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Finding the Fourth Proportional to 12,212.94, 16,853.19 and 6,908.82

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Solution

The fourth proportional to 12,212.94, 16,853.19 and 6,908.82 is: 9,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.94 : 16,853.19 = 6,908.82 : x
  2. Step 2: Convert to fraction form
    12,212.94/16,853.19 = 6,908.82/x
  3. Step 3: Cross multiply
    12,212.94x = 16,853.19 × 6,908.82
  4. Step 4: Simplify right side
    12,212.94x = 116,435,656.14
  5. Step 5: Solve for x
    x = 116,435,656.14/12,212.94
  6. Step 6: Final answer
    x = 9,533.79

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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.