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Finding the Fourth Proportional to 21,667, 29,900.55 and 11,731

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Solution

The fourth proportional to 21,667, 29,900.55 and 11,731 is: 16,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667 : 29,900.55 = 11,731 : x
  2. Step 2: Convert to fraction form
    21,667/29,900.55 = 11,731/x
  3. Step 3: Cross multiply
    21,667x = 29,900.55 × 11,731
  4. Step 4: Simplify right side
    21,667x = 350,763,352.05
  5. Step 5: Solve for x
    x = 350,763,352.05/21,667
  6. Step 6: Final answer
    x = 16,188.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.