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Finding the Fourth Proportional to 13,438.25, 20,157.38 and 5,230.25

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Solution

The fourth proportional to 13,438.25, 20,157.38 and 5,230.25 is: 7,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.25 : 20,157.38 = 5,230.25 : x
  2. Step 2: Convert to fraction form
    13,438.25/20,157.38 = 5,230.25/x
  3. Step 3: Cross multiply
    13,438.25x = 20,157.38 × 5,230.25
  4. Step 4: Simplify right side
    13,438.25x = 105,428,136.75
  5. Step 5: Solve for x
    x = 105,428,136.75/13,438.25
  6. Step 6: Final answer
    x = 7,845.38

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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.