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Finding the Fourth Proportional to 13,357.68, 20,037.03 and 3,997.83

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Solution

The fourth proportional to 13,357.68, 20,037.03 and 3,997.83 is: 5,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.68 : 20,037.03 = 3,997.83 : x
  2. Step 2: Convert to fraction form
    13,357.68/20,037.03 = 3,997.83/x
  3. Step 3: Cross multiply
    13,357.68x = 20,037.03 × 3,997.83
  4. Step 4: Simplify right side
    13,357.68x = 80,104,639.64
  5. Step 5: Solve for x
    x = 80,104,639.64/13,357.68
  6. Step 6: Final answer
    x = 5,996.90

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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.