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Finding the Fourth Proportional to 13,965.75, 20,948.49 and 5,081.04

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Solution

The fourth proportional to 13,965.75, 20,948.49 and 5,081.04 is: 7,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.75 : 20,948.49 = 5,081.04 : x
  2. Step 2: Convert to fraction form
    13,965.75/20,948.49 = 5,081.04/x
  3. Step 3: Cross multiply
    13,965.75x = 20,948.49 × 5,081.04
  4. Step 4: Simplify right side
    13,965.75x = 106,440,115.63
  5. Step 5: Solve for x
    x = 106,440,115.63/13,965.75
  6. Step 6: Final answer
    x = 7,621.51

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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.