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Finding the Fourth Proportional to 13,832.01, 20,728.58 and 10,371.69

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Solution

The fourth proportional to 13,832.01, 20,728.58 and 10,371.69 is: 15,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.01 : 20,728.58 = 10,371.69 : x
  2. Step 2: Convert to fraction form
    13,832.01/20,728.58 = 10,371.69/x
  3. Step 3: Cross multiply
    13,832.01x = 20,728.58 × 10,371.69
  4. Step 4: Simplify right side
    13,832.01x = 214,990,354.04
  5. Step 5: Solve for x
    x = 214,990,354.04/13,832.01
  6. Step 6: Final answer
    x = 15,542.96

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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.