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Finding the Fourth Proportional to 17,211.50, 25,821.60 and 4,899.50

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Solution

The fourth proportional to 17,211.50, 25,821.60 and 4,899.50 is: 7,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.50 : 25,821.60 = 4,899.50 : x
  2. Step 2: Convert to fraction form
    17,211.50/25,821.60 = 4,899.50/x
  3. Step 3: Cross multiply
    17,211.50x = 25,821.60 × 4,899.50
  4. Step 4: Simplify right side
    17,211.50x = 126,512,929.20
  5. Step 5: Solve for x
    x = 126,512,929.20/17,211.50
  6. Step 6: Final answer
    x = 7,350.49

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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.