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Finding the Fourth Proportional to 13,692.99, 18,896.31 and 7,405.37

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Solution

The fourth proportional to 13,692.99, 18,896.31 and 7,405.37 is: 10,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.99 : 18,896.31 = 7,405.37 : x
  2. Step 2: Convert to fraction form
    13,692.99/18,896.31 = 7,405.37/x
  3. Step 3: Cross multiply
    13,692.99x = 18,896.31 × 7,405.37
  4. Step 4: Simplify right side
    13,692.99x = 139,934,072.70
  5. Step 5: Solve for x
    x = 139,934,072.70/13,692.99
  6. Step 6: Final answer
    x = 10,219.39

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Why These Related Problems?

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