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Finding the Fourth Proportional to 13,546.24, 20,321.28 and 4,778.24

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Solution

The fourth proportional to 13,546.24, 20,321.28 and 4,778.24 is: 7,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.24 : 20,321.28 = 4,778.24 : x
  2. Step 2: Convert to fraction form
    13,546.24/20,321.28 = 4,778.24/x
  3. Step 3: Cross multiply
    13,546.24x = 20,321.28 × 4,778.24
  4. Step 4: Simplify right side
    13,546.24x = 97,099,952.95
  5. Step 5: Solve for x
    x = 97,099,952.95/13,546.24
  6. Step 6: Final answer
    x = 7,168.04

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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.