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Finding the Fourth Proportional to 13,815.75, 20,723.53 and 3,427.50

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Solution

The fourth proportional to 13,815.75, 20,723.53 and 3,427.50 is: 5,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.75 : 20,723.53 = 3,427.50 : x
  2. Step 2: Convert to fraction form
    13,815.75/20,723.53 = 3,427.50/x
  3. Step 3: Cross multiply
    13,815.75x = 20,723.53 × 3,427.50
  4. Step 4: Simplify right side
    13,815.75x = 71,029,899.08
  5. Step 5: Solve for x
    x = 71,029,899.08/13,815.75
  6. Step 6: Final answer
    x = 5,141.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.