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Finding the Fourth Proportional to 20,982.82, 28,956.40 and 11,551.38

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Solution

The fourth proportional to 20,982.82, 28,956.40 and 11,551.38 is: 15,940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982.82 : 28,956.40 = 11,551.38 : x
  2. Step 2: Convert to fraction form
    20,982.82/28,956.40 = 11,551.38/x
  3. Step 3: Cross multiply
    20,982.82x = 28,956.40 × 11,551.38
  4. Step 4: Simplify right side
    20,982.82x = 334,486,350.95
  5. Step 5: Solve for x
    x = 334,486,350.95/20,982.82
  6. Step 6: Final answer
    x = 15,940.96

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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.