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Finding the Fourth Proportional to 13,826.65, 20,743.04 and 3,965.17

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Solution

The fourth proportional to 13,826.65, 20,743.04 and 3,965.17 is: 5,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.65 : 20,743.04 = 3,965.17 : x
  2. Step 2: Convert to fraction form
    13,826.65/20,743.04 = 3,965.17/x
  3. Step 3: Cross multiply
    13,826.65x = 20,743.04 × 3,965.17
  4. Step 4: Simplify right side
    13,826.65x = 82,249,571.25
  5. Step 5: Solve for x
    x = 82,249,571.25/13,826.65
  6. Step 6: Final answer
    x = 5,948.63

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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.