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Finding the Fourth Proportional to 13,838.28, 20,765.88 and 7,269.16

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Solution

The fourth proportional to 13,838.28, 20,765.88 and 7,269.16 is: 10,908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.28 : 20,765.88 = 7,269.16 : x
  2. Step 2: Convert to fraction form
    13,838.28/20,765.88 = 7,269.16/x
  3. Step 3: Cross multiply
    13,838.28x = 20,765.88 × 7,269.16
  4. Step 4: Simplify right side
    13,838.28x = 150,950,504.26
  5. Step 5: Solve for x
    x = 150,950,504.26/13,838.28
  6. Step 6: Final answer
    x = 10,908.18

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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.