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Finding the Fourth Proportional to 23,811.56, 32,860.25 and 13,742.09

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Solution

The fourth proportional to 23,811.56, 32,860.25 and 13,742.09 is: 18,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.56 : 32,860.25 = 13,742.09 : x
  2. Step 2: Convert to fraction form
    23,811.56/32,860.25 = 13,742.09/x
  3. Step 3: Cross multiply
    23,811.56x = 32,860.25 × 13,742.09
  4. Step 4: Simplify right side
    23,811.56x = 451,568,512.92
  5. Step 5: Solve for x
    x = 451,568,512.92/23,811.56
  6. Step 6: Final answer
    x = 18,964.26

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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.