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Finding the Fourth Proportional to 13,815.84, 20,723.52 and 3,427.44

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Solution

The fourth proportional to 13,815.84, 20,723.52 and 3,427.44 is: 5,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.84 : 20,723.52 = 3,427.44 : x
  2. Step 2: Convert to fraction form
    13,815.84/20,723.52 = 3,427.44/x
  3. Step 3: Cross multiply
    13,815.84x = 20,723.52 × 3,427.44
  4. Step 4: Simplify right side
    13,815.84x = 71,028,621.39
  5. Step 5: Solve for x
    x = 71,028,621.39/13,815.84
  6. Step 6: Final answer
    x = 5,141.10

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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.