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Finding the Fourth Proportional to 12,083.97, 16,667.43 and 11,677.56

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Solution

The fourth proportional to 12,083.97, 16,667.43 and 11,677.56 is: 16,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.97 : 16,667.43 = 11,677.56 : x
  2. Step 2: Convert to fraction form
    12,083.97/16,667.43 = 11,677.56/x
  3. Step 3: Cross multiply
    12,083.97x = 16,667.43 × 11,677.56
  4. Step 4: Simplify right side
    12,083.97x = 194,634,913.87
  5. Step 5: Solve for x
    x = 194,634,913.87/12,083.97
  6. Step 6: Final answer
    x = 16,106.87

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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.