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Finding the Fourth Proportional to 13,757.43, 20,632.25 and 5,321.99

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Solution

The fourth proportional to 13,757.43, 20,632.25 and 5,321.99 is: 7,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.43 : 20,632.25 = 5,321.99 : x
  2. Step 2: Convert to fraction form
    13,757.43/20,632.25 = 5,321.99/x
  3. Step 3: Cross multiply
    13,757.43x = 20,632.25 × 5,321.99
  4. Step 4: Simplify right side
    13,757.43x = 109,804,628.18
  5. Step 5: Solve for x
    x = 109,804,628.18/13,757.43
  6. Step 6: Final answer
    x = 7,981.48

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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.