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Finding the Fourth Proportional to 13,754.38, 20,629.74 and 3,894.52

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Solution

The fourth proportional to 13,754.38, 20,629.74 and 3,894.52 is: 5,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.38 : 20,629.74 = 3,894.52 : x
  2. Step 2: Convert to fraction form
    13,754.38/20,629.74 = 3,894.52/x
  3. Step 3: Cross multiply
    13,754.38x = 20,629.74 × 3,894.52
  4. Step 4: Simplify right side
    13,754.38x = 80,342,935.02
  5. Step 5: Solve for x
    x = 80,342,935.02/13,754.38
  6. Step 6: Final answer
    x = 5,841.26

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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.