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Finding the Fourth Proportional to 13,157, 19,738.20 and 4,272.80

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Solution

The fourth proportional to 13,157, 19,738.20 and 4,272.80 is: 6,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157 : 19,738.20 = 4,272.80 : x
  2. Step 2: Convert to fraction form
    13,157/19,738.20 = 4,272.80/x
  3. Step 3: Cross multiply
    13,157x = 19,738.20 × 4,272.80
  4. Step 4: Simplify right side
    13,157x = 84,337,380.96
  5. Step 5: Solve for x
    x = 84,337,380.96/13,157
  6. Step 6: Final answer
    x = 6,410.08

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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.