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Finding the Fourth Proportional to 13,910.40, 20,847.12 and 5,137.20

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Solution

The fourth proportional to 13,910.40, 20,847.12 and 5,137.20 is: 7,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.40 : 20,847.12 = 5,137.20 : x
  2. Step 2: Convert to fraction form
    13,910.40/20,847.12 = 5,137.20/x
  3. Step 3: Cross multiply
    13,910.40x = 20,847.12 × 5,137.20
  4. Step 4: Simplify right side
    13,910.40x = 107,095,824.86
  5. Step 5: Solve for x
    x = 107,095,824.86/13,910.40
  6. Step 6: Final answer
    x = 7,698.98

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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.