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Finding the Fourth Proportional to 13,969.18, 20,950.82 and 4,105.78

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Solution

The fourth proportional to 13,969.18, 20,950.82 and 4,105.78 is: 6,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.18 : 20,950.82 = 4,105.78 : x
  2. Step 2: Convert to fraction form
    13,969.18/20,950.82 = 4,105.78/x
  3. Step 3: Cross multiply
    13,969.18x = 20,950.82 × 4,105.78
  4. Step 4: Simplify right side
    13,969.18x = 86,019,363.25
  5. Step 5: Solve for x
    x = 86,019,363.25/13,969.18
  6. Step 6: Final answer
    x = 6,157.80

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