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Finding the Fourth Proportional to 18,540.72, 27,794.78 and 9,637.30

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Solution

The fourth proportional to 18,540.72, 27,794.78 and 9,637.30 is: 14,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.72 : 27,794.78 = 9,637.30 : x
  2. Step 2: Convert to fraction form
    18,540.72/27,794.78 = 9,637.30/x
  3. Step 3: Cross multiply
    18,540.72x = 27,794.78 × 9,637.30
  4. Step 4: Simplify right side
    18,540.72x = 267,866,633.29
  5. Step 5: Solve for x
    x = 267,866,633.29/18,540.72
  6. Step 6: Final answer
    x = 14,447.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.