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Finding the Fourth Proportional to 13,763.27, 20,651.76 and 5,449.28

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Solution

The fourth proportional to 13,763.27, 20,651.76 and 5,449.28 is: 8,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.27 : 20,651.76 = 5,449.28 : x
  2. Step 2: Convert to fraction form
    13,763.27/20,651.76 = 5,449.28/x
  3. Step 3: Cross multiply
    13,763.27x = 20,651.76 × 5,449.28
  4. Step 4: Simplify right side
    13,763.27x = 112,537,119.47
  5. Step 5: Solve for x
    x = 112,537,119.47/13,763.27
  6. Step 6: Final answer
    x = 8,176.63

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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.