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Finding the Fourth Proportional to 19,413.54, 29,120.30 and 15,499.62

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Solution

The fourth proportional to 19,413.54, 29,120.30 and 15,499.62 is: 23,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.54 : 29,120.30 = 15,499.62 : x
  2. Step 2: Convert to fraction form
    19,413.54/29,120.30 = 15,499.62/x
  3. Step 3: Cross multiply
    19,413.54x = 29,120.30 × 15,499.62
  4. Step 4: Simplify right side
    19,413.54x = 451,353,584.29
  5. Step 5: Solve for x
    x = 451,353,584.29/19,413.54
  6. Step 6: Final answer
    x = 23,249.42

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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.