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Finding the Fourth Proportional to 12,176.52, 18,264.78 and 2,942.52

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Solution

The fourth proportional to 12,176.52, 18,264.78 and 2,942.52 is: 4,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.52 : 18,264.78 = 2,942.52 : x
  2. Step 2: Convert to fraction form
    12,176.52/18,264.78 = 2,942.52/x
  3. Step 3: Cross multiply
    12,176.52x = 18,264.78 × 2,942.52
  4. Step 4: Simplify right side
    12,176.52x = 53,744,480.45
  5. Step 5: Solve for x
    x = 53,744,480.45/12,176.52
  6. Step 6: Final answer
    x = 4,413.78

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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.