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Finding the Fourth Proportional to 13,938.76, 20,914.31 and 5,635

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Solution

The fourth proportional to 13,938.76, 20,914.31 and 5,635 is: 8,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.76 : 20,914.31 = 5,635 : x
  2. Step 2: Convert to fraction form
    13,938.76/20,914.31 = 5,635/x
  3. Step 3: Cross multiply
    13,938.76x = 20,914.31 × 5,635
  4. Step 4: Simplify right side
    13,938.76x = 117,852,136.85
  5. Step 5: Solve for x
    x = 117,852,136.85/13,938.76
  6. Step 6: Final answer
    x = 8,454.99

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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.