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Finding the Fourth Proportional to 11,311.50, 16,982.10 and 9,926.40

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Solution

The fourth proportional to 11,311.50, 16,982.10 and 9,926.40 is: 14,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.50 : 16,982.10 = 9,926.40 : x
  2. Step 2: Convert to fraction form
    11,311.50/16,982.10 = 9,926.40/x
  3. Step 3: Cross multiply
    11,311.50x = 16,982.10 × 9,926.40
  4. Step 4: Simplify right side
    11,311.50x = 168,571,117.44
  5. Step 5: Solve for x
    x = 168,571,117.44/11,311.50
  6. Step 6: Final answer
    x = 14,902.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.