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Finding the Fourth Proportional to 13,945.29, 20,918.05 and 5,180.20

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Solution

The fourth proportional to 13,945.29, 20,918.05 and 5,180.20 is: 7,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945.29 : 20,918.05 = 5,180.20 : x
  2. Step 2: Convert to fraction form
    13,945.29/20,918.05 = 5,180.20/x
  3. Step 3: Cross multiply
    13,945.29x = 20,918.05 × 5,180.20
  4. Step 4: Simplify right side
    13,945.29x = 108,359,735.03
  5. Step 5: Solve for x
    x = 108,359,735.03/13,945.29
  6. Step 6: Final answer
    x = 7,770.35

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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.