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Finding the Fourth Proportional to 13,997.19, 20,893.38 and 12,336.50

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Solution

The fourth proportional to 13,997.19, 20,893.38 and 12,336.50 is: 18,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.19 : 20,893.38 = 12,336.50 : x
  2. Step 2: Convert to fraction form
    13,997.19/20,893.38 = 12,336.50/x
  3. Step 3: Cross multiply
    13,997.19x = 20,893.38 × 12,336.50
  4. Step 4: Simplify right side
    13,997.19x = 257,751,182.37
  5. Step 5: Solve for x
    x = 257,751,182.37/13,997.19
  6. Step 6: Final answer
    x = 18,414.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.