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Finding the Fourth Proportional to 20,165.63, 30,229.01 and 9,632.80

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Solution

The fourth proportional to 20,165.63, 30,229.01 and 9,632.80 is: 14,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.63 : 30,229.01 = 9,632.80 : x
  2. Step 2: Convert to fraction form
    20,165.63/30,229.01 = 9,632.80/x
  3. Step 3: Cross multiply
    20,165.63x = 30,229.01 × 9,632.80
  4. Step 4: Simplify right side
    20,165.63x = 291,189,808.22
  5. Step 5: Solve for x
    x = 291,189,808.22/20,165.63
  6. Step 6: Final answer
    x = 14,439.91

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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.