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Finding the Fourth Proportional to 19,413.50, 29,126.39 and 6,933.24

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Solution

The fourth proportional to 19,413.50, 29,126.39 and 6,933.24 is: 10,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.50 : 29,126.39 = 6,933.24 : x
  2. Step 2: Convert to fraction form
    19,413.50/29,126.39 = 6,933.24/x
  3. Step 3: Cross multiply
    19,413.50x = 29,126.39 × 6,933.24
  4. Step 4: Simplify right side
    19,413.50x = 201,940,217.54
  5. Step 5: Solve for x
    x = 201,940,217.54/19,413.50
  6. Step 6: Final answer
    x = 10,402.05

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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.