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Finding the Fourth Proportional to 13,838.40, 20,757.60 and 7,266.60

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Solution

The fourth proportional to 13,838.40, 20,757.60 and 7,266.60 is: 10,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.40 : 20,757.60 = 7,266.60 : x
  2. Step 2: Convert to fraction form
    13,838.40/20,757.60 = 7,266.60/x
  3. Step 3: Cross multiply
    13,838.40x = 20,757.60 × 7,266.60
  4. Step 4: Simplify right side
    13,838.40x = 150,837,176.16
  5. Step 5: Solve for x
    x = 150,837,176.16/13,838.40
  6. Step 6: Final answer
    x = 10,899.90

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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.