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Finding the Fourth Proportional to 18,498.54, 27,747.81 and 8,103

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Solution

The fourth proportional to 18,498.54, 27,747.81 and 8,103 is: 12,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,498.54 : 27,747.81 = 8,103 : x
  2. Step 2: Convert to fraction form
    18,498.54/27,747.81 = 8,103/x
  3. Step 3: Cross multiply
    18,498.54x = 27,747.81 × 8,103
  4. Step 4: Simplify right side
    18,498.54x = 224,840,504.43
  5. Step 5: Solve for x
    x = 224,840,504.43/18,498.54
  6. Step 6: Final answer
    x = 12,154.50

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Why These Related Problems?

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