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Finding the Fourth Proportional to 13,891.49, 20,840.42 and 4,031.56

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Solution

The fourth proportional to 13,891.49, 20,840.42 and 4,031.56 is: 6,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.49 : 20,840.42 = 4,031.56 : x
  2. Step 2: Convert to fraction form
    13,891.49/20,840.42 = 4,031.56/x
  3. Step 3: Cross multiply
    13,891.49x = 20,840.42 × 4,031.56
  4. Step 4: Simplify right side
    13,891.49x = 84,019,439.78
  5. Step 5: Solve for x
    x = 84,019,439.78/13,891.49
  6. Step 6: Final answer
    x = 6,048.27

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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.