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Finding the Fourth Proportional to 16,449.35, 22,679.52 and 13,727.80

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Solution

The fourth proportional to 16,449.35, 22,679.52 and 13,727.80 is: 18,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.35 : 22,679.52 = 13,727.80 : x
  2. Step 2: Convert to fraction form
    16,449.35/22,679.52 = 13,727.80/x
  3. Step 3: Cross multiply
    16,449.35x = 22,679.52 × 13,727.80
  4. Step 4: Simplify right side
    16,449.35x = 311,339,909.44
  5. Step 5: Solve for x
    x = 311,339,909.44/16,449.35
  6. Step 6: Final answer
    x = 18,927.19

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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.