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Finding the Fourth Proportional to 13,442.68, 20,157.90 and 5,647.24

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Solution

The fourth proportional to 13,442.68, 20,157.90 and 5,647.24 is: 8,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.68 : 20,157.90 = 5,647.24 : x
  2. Step 2: Convert to fraction form
    13,442.68/20,157.90 = 5,647.24/x
  3. Step 3: Cross multiply
    13,442.68x = 20,157.90 × 5,647.24
  4. Step 4: Simplify right side
    13,442.68x = 113,836,499.20
  5. Step 5: Solve for x
    x = 113,836,499.20/13,442.68
  6. Step 6: Final answer
    x = 8,468.29

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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.