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Finding the Fourth Proportional to 18,413.52, 27,620.40 and 4,562.64

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Solution

The fourth proportional to 18,413.52, 27,620.40 and 4,562.64 is: 6,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,413.52 : 27,620.40 = 4,562.64 : x
  2. Step 2: Convert to fraction form
    18,413.52/27,620.40 = 4,562.64/x
  3. Step 3: Cross multiply
    18,413.52x = 27,620.40 × 4,562.64
  4. Step 4: Simplify right side
    18,413.52x = 126,021,941.86
  5. Step 5: Solve for x
    x = 126,021,941.86/18,413.52
  6. Step 6: Final answer
    x = 6,843.99

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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.