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Finding the Fourth Proportional to 13,958.57, 20,941.92 and 5,634.33

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Solution

The fourth proportional to 13,958.57, 20,941.92 and 5,634.33 is: 8,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.57 : 20,941.92 = 5,634.33 : x
  2. Step 2: Convert to fraction form
    13,958.57/20,941.92 = 5,634.33/x
  3. Step 3: Cross multiply
    13,958.57x = 20,941.92 × 5,634.33
  4. Step 4: Simplify right side
    13,958.57x = 117,993,688.11
  5. Step 5: Solve for x
    x = 117,993,688.11/13,958.57
  6. Step 6: Final answer
    x = 8,453.14

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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.