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Finding the Fourth Proportional to 12,346.63, 16,924.04 and 12,180.49

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Solution

The fourth proportional to 12,346.63, 16,924.04 and 12,180.49 is: 16,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.63 : 16,924.04 = 12,180.49 : x
  2. Step 2: Convert to fraction form
    12,346.63/16,924.04 = 12,180.49/x
  3. Step 3: Cross multiply
    12,346.63x = 16,924.04 × 12,180.49
  4. Step 4: Simplify right side
    12,346.63x = 206,143,099.98
  5. Step 5: Solve for x
    x = 206,143,099.98/12,346.63
  6. Step 6: Final answer
    x = 16,696.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.