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Finding the Fourth Proportional to 13,842.48, 20,763.72 and 3,454.23

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Solution

The fourth proportional to 13,842.48, 20,763.72 and 3,454.23 is: 5,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.48 : 20,763.72 = 3,454.23 : x
  2. Step 2: Convert to fraction form
    13,842.48/20,763.72 = 3,454.23/x
  3. Step 3: Cross multiply
    13,842.48x = 20,763.72 × 3,454.23
  4. Step 4: Simplify right side
    13,842.48x = 71,722,664.54
  5. Step 5: Solve for x
    x = 71,722,664.54/13,842.48
  6. Step 6: Final answer
    x = 5,181.35

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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.