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Finding the Fourth Proportional to 13,936.34, 20,906 and 4,075.68

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Solution

The fourth proportional to 13,936.34, 20,906 and 4,075.68 is: 6,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936.34 : 20,906 = 4,075.68 : x
  2. Step 2: Convert to fraction form
    13,936.34/20,906 = 4,075.68/x
  3. Step 3: Cross multiply
    13,936.34x = 20,906 × 4,075.68
  4. Step 4: Simplify right side
    13,936.34x = 85,206,166.08
  5. Step 5: Solve for x
    x = 85,206,166.08/13,936.34
  6. Step 6: Final answer
    x = 6,113.96

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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.