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Finding the Fourth Proportional to 23,245.30, 32,086.74 and 13,813.75

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Solution

The fourth proportional to 23,245.30, 32,086.74 and 13,813.75 is: 19,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245.30 : 32,086.74 = 13,813.75 : x
  2. Step 2: Convert to fraction form
    23,245.30/32,086.74 = 13,813.75/x
  3. Step 3: Cross multiply
    23,245.30x = 32,086.74 × 13,813.75
  4. Step 4: Simplify right side
    23,245.30x = 443,238,204.68
  5. Step 5: Solve for x
    x = 443,238,204.68/23,245.30
  6. Step 6: Final answer
    x = 19,067.86

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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.