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Finding the Fourth Proportional to 13,653.23, 18,834.57 and 7,984.26

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Solution

The fourth proportional to 13,653.23, 18,834.57 and 7,984.26 is: 11,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.23 : 18,834.57 = 7,984.26 : x
  2. Step 2: Convert to fraction form
    13,653.23/18,834.57 = 7,984.26/x
  3. Step 3: Cross multiply
    13,653.23x = 18,834.57 × 7,984.26
  4. Step 4: Simplify right side
    13,653.23x = 150,380,103.87
  5. Step 5: Solve for x
    x = 150,380,103.87/13,653.23
  6. Step 6: Final answer
    x = 11,014.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.