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Finding the Fourth Proportional to 15,847.40, 23,745.90 and 8,442.20

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Solution

The fourth proportional to 15,847.40, 23,745.90 and 8,442.20 is: 12,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.40 : 23,745.90 = 8,442.20 : x
  2. Step 2: Convert to fraction form
    15,847.40/23,745.90 = 8,442.20/x
  3. Step 3: Cross multiply
    15,847.40x = 23,745.90 × 8,442.20
  4. Step 4: Simplify right side
    15,847.40x = 200,467,636.98
  5. Step 5: Solve for x
    x = 200,467,636.98/15,847.40
  6. Step 6: Final answer
    x = 12,649.88

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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.