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Finding the Fourth Proportional to 23,757.69, 32,776.09 and 13,680.73

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Solution

The fourth proportional to 23,757.69, 32,776.09 and 13,680.73 is: 18,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.69 : 32,776.09 = 13,680.73 : x
  2. Step 2: Convert to fraction form
    23,757.69/32,776.09 = 13,680.73/x
  3. Step 3: Cross multiply
    23,757.69x = 32,776.09 × 13,680.73
  4. Step 4: Simplify right side
    23,757.69x = 448,400,837.75
  5. Step 5: Solve for x
    x = 448,400,837.75/23,757.69
  6. Step 6: Final answer
    x = 18,873.92

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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.