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Finding the Fourth Proportional to 13,349.48, 20,028.54 and 9,401

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Solution

The fourth proportional to 13,349.48, 20,028.54 and 9,401 is: 14,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.48 : 20,028.54 = 9,401 : x
  2. Step 2: Convert to fraction form
    13,349.48/20,028.54 = 9,401/x
  3. Step 3: Cross multiply
    13,349.48x = 20,028.54 × 9,401
  4. Step 4: Simplify right side
    13,349.48x = 188,288,304.54
  5. Step 5: Solve for x
    x = 188,288,304.54/13,349.48
  6. Step 6: Final answer
    x = 14,104.54

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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.