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Finding the Fourth Proportional to 20,603.50, 30,910.43 and 9,518.03

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Solution

The fourth proportional to 20,603.50, 30,910.43 and 9,518.03 is: 14,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603.50 : 30,910.43 = 9,518.03 : x
  2. Step 2: Convert to fraction form
    20,603.50/30,910.43 = 9,518.03/x
  3. Step 3: Cross multiply
    20,603.50x = 30,910.43 × 9,518.03
  4. Step 4: Simplify right side
    20,603.50x = 294,206,400.05
  5. Step 5: Solve for x
    x = 294,206,400.05/20,603.50
  6. Step 6: Final answer
    x = 14,279.44

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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.