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Finding the Fourth Proportional to 13,922.68, 20,883.48 and 3,534.34

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Solution

The fourth proportional to 13,922.68, 20,883.48 and 3,534.34 is: 5,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.68 : 20,883.48 = 3,534.34 : x
  2. Step 2: Convert to fraction form
    13,922.68/20,883.48 = 3,534.34/x
  3. Step 3: Cross multiply
    13,922.68x = 20,883.48 × 3,534.34
  4. Step 4: Simplify right side
    13,922.68x = 73,809,318.70
  5. Step 5: Solve for x
    x = 73,809,318.70/13,922.68
  6. Step 6: Final answer
    x = 5,301.37

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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.