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Finding the Fourth Proportional to 22,662.50, 33,969.45 and 10,949.90

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Solution

The fourth proportional to 22,662.50, 33,969.45 and 10,949.90 is: 16,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.50 : 33,969.45 = 10,949.90 : x
  2. Step 2: Convert to fraction form
    22,662.50/33,969.45 = 10,949.90/x
  3. Step 3: Cross multiply
    22,662.50x = 33,969.45 × 10,949.90
  4. Step 4: Simplify right side
    22,662.50x = 371,962,080.56
  5. Step 5: Solve for x
    x = 371,962,080.56/22,662.50
  6. Step 6: Final answer
    x = 16,413.11

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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.