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Finding the Fourth Proportional to 13,743.63, 20,621.93 and 4,976.19

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Solution

The fourth proportional to 13,743.63, 20,621.93 and 4,976.19 is: 7,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.63 : 20,621.93 = 4,976.19 : x
  2. Step 2: Convert to fraction form
    13,743.63/20,621.93 = 4,976.19/x
  3. Step 3: Cross multiply
    13,743.63x = 20,621.93 × 4,976.19
  4. Step 4: Simplify right side
    13,743.63x = 102,618,616.97
  5. Step 5: Solve for x
    x = 102,618,616.97/13,743.63
  6. Step 6: Final answer
    x = 7,466.63

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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.