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Finding the Fourth Proportional to 12,104.52, 18,142.74 and 8,147.40

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Solution

The fourth proportional to 12,104.52, 18,142.74 and 8,147.40 is: 12,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.52 : 18,142.74 = 8,147.40 : x
  2. Step 2: Convert to fraction form
    12,104.52/18,142.74 = 8,147.40/x
  3. Step 3: Cross multiply
    12,104.52x = 18,142.74 × 8,147.40
  4. Step 4: Simplify right side
    12,104.52x = 147,816,159.88
  5. Step 5: Solve for x
    x = 147,816,159.88/12,104.52
  6. Step 6: Final answer
    x = 12,211.65

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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.