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Finding the Fourth Proportional to 13,896.90, 20,840.49 and 4,033.53

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Solution

The fourth proportional to 13,896.90, 20,840.49 and 4,033.53 is: 6,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.90 : 20,840.49 = 4,033.53 : x
  2. Step 2: Convert to fraction form
    13,896.90/20,840.49 = 4,033.53/x
  3. Step 3: Cross multiply
    13,896.90x = 20,840.49 × 4,033.53
  4. Step 4: Simplify right side
    13,896.90x = 84,060,741.63
  5. Step 5: Solve for x
    x = 84,060,741.63/13,896.90
  6. Step 6: Final answer
    x = 6,048.88

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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.