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Finding the Fourth Proportional to 23,701.64, 32,709.82 and 13,091.44

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Solution

The fourth proportional to 23,701.64, 32,709.82 and 13,091.44 is: 18,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.64 : 32,709.82 = 13,091.44 : x
  2. Step 2: Convert to fraction form
    23,701.64/32,709.82 = 13,091.44/x
  3. Step 3: Cross multiply
    23,701.64x = 32,709.82 × 13,091.44
  4. Step 4: Simplify right side
    23,701.64x = 428,218,645.94
  5. Step 5: Solve for x
    x = 428,218,645.94/23,701.64
  6. Step 6: Final answer
    x = 18,067.05

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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.