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Finding the Fourth Proportional to 13,813.92, 20,728.31 and 6,022.26

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Solution

The fourth proportional to 13,813.92, 20,728.31 and 6,022.26 is: 9,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.92 : 20,728.31 = 6,022.26 : x
  2. Step 2: Convert to fraction form
    13,813.92/20,728.31 = 6,022.26/x
  3. Step 3: Cross multiply
    13,813.92x = 20,728.31 × 6,022.26
  4. Step 4: Simplify right side
    13,813.92x = 124,831,242.07
  5. Step 5: Solve for x
    x = 124,831,242.07/13,813.92
  6. Step 6: Final answer
    x = 9,036.63

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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.