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Finding the Fourth Proportional to 20,131.59, 30,198.02 and 9,602.75

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Solution

The fourth proportional to 20,131.59, 30,198.02 and 9,602.75 is: 14,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.59 : 30,198.02 = 9,602.75 : x
  2. Step 2: Convert to fraction form
    20,131.59/30,198.02 = 9,602.75/x
  3. Step 3: Cross multiply
    20,131.59x = 30,198.02 × 9,602.75
  4. Step 4: Simplify right side
    20,131.59x = 289,984,064.04
  5. Step 5: Solve for x
    x = 289,984,064.04/20,131.59
  6. Step 6: Final answer
    x = 14,404.43

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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.