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Finding the Fourth Proportional to 12,170.20, 18,243.96 and 5,601.64

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Solution

The fourth proportional to 12,170.20, 18,243.96 and 5,601.64 is: 8,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.20 : 18,243.96 = 5,601.64 : x
  2. Step 2: Convert to fraction form
    12,170.20/18,243.96 = 5,601.64/x
  3. Step 3: Cross multiply
    12,170.20x = 18,243.96 × 5,601.64
  4. Step 4: Simplify right side
    12,170.20x = 102,196,096.09
  5. Step 5: Solve for x
    x = 102,196,096.09/12,170.20
  6. Step 6: Final answer
    x = 8,397.24

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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.