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Finding the Fourth Proportional to 20,021.96, 30,037.18 and 5,983.08

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Solution

The fourth proportional to 20,021.96, 30,037.18 and 5,983.08 is: 8,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021.96 : 30,037.18 = 5,983.08 : x
  2. Step 2: Convert to fraction form
    20,021.96/30,037.18 = 5,983.08/x
  3. Step 3: Cross multiply
    20,021.96x = 30,037.18 × 5,983.08
  4. Step 4: Simplify right side
    20,021.96x = 179,714,850.91
  5. Step 5: Solve for x
    x = 179,714,850.91/20,021.96
  6. Step 6: Final answer
    x = 8,975.89

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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.