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Finding the Fourth Proportional to 18,447.76, 27,679.74 and 9,680.63

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Solution

The fourth proportional to 18,447.76, 27,679.74 and 9,680.63 is: 14,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,447.76 : 27,679.74 = 9,680.63 : x
  2. Step 2: Convert to fraction form
    18,447.76/27,679.74 = 9,680.63/x
  3. Step 3: Cross multiply
    18,447.76x = 27,679.74 × 9,680.63
  4. Step 4: Simplify right side
    18,447.76x = 267,957,183.04
  5. Step 5: Solve for x
    x = 267,957,183.04/18,447.76
  6. Step 6: Final answer
    x = 14,525.19

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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.