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Finding the Fourth Proportional to 20,037.90, 30,056.61 and 8,198.01

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Solution

The fourth proportional to 20,037.90, 30,056.61 and 8,198.01 is: 12,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.90 : 30,056.61 = 8,198.01 : x
  2. Step 2: Convert to fraction form
    20,037.90/30,056.61 = 8,198.01/x
  3. Step 3: Cross multiply
    20,037.90x = 30,056.61 × 8,198.01
  4. Step 4: Simplify right side
    20,037.90x = 246,404,389.35
  5. Step 5: Solve for x
    x = 246,404,389.35/20,037.90
  6. Step 6: Final answer
    x = 12,296.92

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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.