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Finding the Fourth Proportional to 13,698.68, 18,936.06 and 12,221.24

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Solution

The fourth proportional to 13,698.68, 18,936.06 and 12,221.24 is: 16,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.68 : 18,936.06 = 12,221.24 : x
  2. Step 2: Convert to fraction form
    13,698.68/18,936.06 = 12,221.24/x
  3. Step 3: Cross multiply
    13,698.68x = 18,936.06 × 12,221.24
  4. Step 4: Simplify right side
    13,698.68x = 231,422,133.91
  5. Step 5: Solve for x
    x = 231,422,133.91/13,698.68
  6. Step 6: Final answer
    x = 16,893.75

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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.