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Finding the Fourth Proportional to 12,103.54, 18,157.74 and 5,527.96

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Solution

The fourth proportional to 12,103.54, 18,157.74 and 5,527.96 is: 8,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.54 : 18,157.74 = 5,527.96 : x
  2. Step 2: Convert to fraction form
    12,103.54/18,157.74 = 5,527.96/x
  3. Step 3: Cross multiply
    12,103.54x = 18,157.74 × 5,527.96
  4. Step 4: Simplify right side
    12,103.54x = 100,375,260.41
  5. Step 5: Solve for x
    x = 100,375,260.41/12,103.54
  6. Step 6: Final answer
    x = 8,293.05

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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.