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Finding the Fourth Proportional to 13,824.99, 20,741.67 and 4,939.16

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Solution

The fourth proportional to 13,824.99, 20,741.67 and 4,939.16 is: 7,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.99 : 20,741.67 = 4,939.16 : x
  2. Step 2: Convert to fraction form
    13,824.99/20,741.67 = 4,939.16/x
  3. Step 3: Cross multiply
    13,824.99x = 20,741.67 × 4,939.16
  4. Step 4: Simplify right side
    13,824.99x = 102,446,323.09
  5. Step 5: Solve for x
    x = 102,446,323.09/13,824.99
  6. Step 6: Final answer
    x = 7,410.23

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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.