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Finding the Fourth Proportional to 13,727.28, 18,922.68 and 8,412.24

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Solution

The fourth proportional to 13,727.28, 18,922.68 and 8,412.24 is: 11,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.28 : 18,922.68 = 8,412.24 : x
  2. Step 2: Convert to fraction form
    13,727.28/18,922.68 = 8,412.24/x
  3. Step 3: Cross multiply
    13,727.28x = 18,922.68 × 8,412.24
  4. Step 4: Simplify right side
    13,727.28x = 159,182,125.60
  5. Step 5: Solve for x
    x = 159,182,125.60/13,727.28
  6. Step 6: Final answer
    x = 11,596.04

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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.