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Finding the Fourth Proportional to 13,438.18, 20,157.31 and 4,078.27

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Solution

The fourth proportional to 13,438.18, 20,157.31 and 4,078.27 is: 6,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.18 : 20,157.31 = 4,078.27 : x
  2. Step 2: Convert to fraction form
    13,438.18/20,157.31 = 4,078.27/x
  3. Step 3: Cross multiply
    13,438.18x = 20,157.31 × 4,078.27
  4. Step 4: Simplify right side
    13,438.18x = 82,206,952.65
  5. Step 5: Solve for x
    x = 82,206,952.65/13,438.18
  6. Step 6: Final answer
    x = 6,117.42

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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.