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Finding the Fourth Proportional to 18,930.75, 28,399.79 and 8,542.50

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Solution

The fourth proportional to 18,930.75, 28,399.79 and 8,542.50 is: 12,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,930.75 : 28,399.79 = 8,542.50 : x
  2. Step 2: Convert to fraction form
    18,930.75/28,399.79 = 8,542.50/x
  3. Step 3: Cross multiply
    18,930.75x = 28,399.79 × 8,542.50
  4. Step 4: Simplify right side
    18,930.75x = 242,605,163.36
  5. Step 5: Solve for x
    x = 242,605,163.36/18,930.75
  6. Step 6: Final answer
    x = 12,815.40

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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.