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Finding the Fourth Proportional to 19,714.26, 29,571.39 and 11,500.50

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Solution

The fourth proportional to 19,714.26, 29,571.39 and 11,500.50 is: 17,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.26 : 29,571.39 = 11,500.50 : x
  2. Step 2: Convert to fraction form
    19,714.26/29,571.39 = 11,500.50/x
  3. Step 3: Cross multiply
    19,714.26x = 29,571.39 × 11,500.50
  4. Step 4: Simplify right side
    19,714.26x = 340,085,770.70
  5. Step 5: Solve for x
    x = 340,085,770.70/19,714.26
  6. Step 6: Final answer
    x = 17,250.75

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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.