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Finding the Fourth Proportional to 13,727.78, 18,923.37 and 8,412.74

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Solution

The fourth proportional to 13,727.78, 18,923.37 and 8,412.74 is: 11,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.78 : 18,923.37 = 8,412.74 : x
  2. Step 2: Convert to fraction form
    13,727.78/18,923.37 = 8,412.74/x
  3. Step 3: Cross multiply
    13,727.78x = 18,923.37 × 8,412.74
  4. Step 4: Simplify right side
    13,727.78x = 159,197,391.73
  5. Step 5: Solve for x
    x = 159,197,391.73/13,727.78
  6. Step 6: Final answer
    x = 11,596.73

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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.