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Finding the Fourth Proportional to 22,462.50, 33,670.06 and 8,413.36

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Solution

The fourth proportional to 22,462.50, 33,670.06 and 8,413.36 is: 12,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.50 : 33,670.06 = 8,413.36 : x
  2. Step 2: Convert to fraction form
    22,462.50/33,670.06 = 8,413.36/x
  3. Step 3: Cross multiply
    22,462.50x = 33,670.06 × 8,413.36
  4. Step 4: Simplify right side
    22,462.50x = 283,278,336.00
  5. Step 5: Solve for x
    x = 283,278,336.00/22,462.50
  6. Step 6: Final answer
    x = 12,611.17

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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.