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Finding the Fourth Proportional to 13,818.12, 20,729.94 and 3,957.45

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Solution

The fourth proportional to 13,818.12, 20,729.94 and 3,957.45 is: 5,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.12 : 20,729.94 = 3,957.45 : x
  2. Step 2: Convert to fraction form
    13,818.12/20,729.94 = 3,957.45/x
  3. Step 3: Cross multiply
    13,818.12x = 20,729.94 × 3,957.45
  4. Step 4: Simplify right side
    13,818.12x = 82,037,701.05
  5. Step 5: Solve for x
    x = 82,037,701.05/13,818.12
  6. Step 6: Final answer
    x = 5,936.97

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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.