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Finding the Fourth Proportional to 13,677.43, 18,906.74 and 12,199.99

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Solution

The fourth proportional to 13,677.43, 18,906.74 and 12,199.99 is: 16,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.43 : 18,906.74 = 12,199.99 : x
  2. Step 2: Convert to fraction form
    13,677.43/18,906.74 = 12,199.99/x
  3. Step 3: Cross multiply
    13,677.43x = 18,906.74 × 12,199.99
  4. Step 4: Simplify right side
    13,677.43x = 230,662,038.93
  5. Step 5: Solve for x
    x = 230,662,038.93/13,677.43
  6. Step 6: Final answer
    x = 16,864.43

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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.