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Finding the Fourth Proportional to 13,739.68, 18,946.80 and 11,756.80

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Solution

The fourth proportional to 13,739.68, 18,946.80 and 11,756.80 is: 16,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.68 : 18,946.80 = 11,756.80 : x
  2. Step 2: Convert to fraction form
    13,739.68/18,946.80 = 11,756.80/x
  3. Step 3: Cross multiply
    13,739.68x = 18,946.80 × 11,756.80
  4. Step 4: Simplify right side
    13,739.68x = 222,753,738.24
  5. Step 5: Solve for x
    x = 222,753,738.24/13,739.68
  6. Step 6: Final answer
    x = 16,212.44

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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.