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Finding the Fourth Proportional to 30,993.87, 42,771.36 and 17,567.67

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Solution

The fourth proportional to 30,993.87, 42,771.36 and 17,567.67 is: 24,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.87 : 42,771.36 = 17,567.67 : x
  2. Step 2: Convert to fraction form
    30,993.87/42,771.36 = 17,567.67/x
  3. Step 3: Cross multiply
    30,993.87x = 42,771.36 × 17,567.67
  4. Step 4: Simplify right side
    30,993.87x = 751,393,137.93
  5. Step 5: Solve for x
    x = 751,393,137.93/30,993.87
  6. Step 6: Final answer
    x = 24,243.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.