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Finding the Fourth Proportional to 13,163.46, 19,745.28 and 5,266.64

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Solution

The fourth proportional to 13,163.46, 19,745.28 and 5,266.64 is: 7,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.46 : 19,745.28 = 5,266.64 : x
  2. Step 2: Convert to fraction form
    13,163.46/19,745.28 = 5,266.64/x
  3. Step 3: Cross multiply
    13,163.46x = 19,745.28 × 5,266.64
  4. Step 4: Simplify right side
    13,163.46x = 103,991,281.46
  5. Step 5: Solve for x
    x = 103,991,281.46/13,163.46
  6. Step 6: Final answer
    x = 7,900.00

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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.