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Finding the Fourth Proportional to 22,409.14, 33,605.87 and 6,609.98

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Solution

The fourth proportional to 22,409.14, 33,605.87 and 6,609.98 is: 9,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.14 : 33,605.87 = 6,609.98 : x
  2. Step 2: Convert to fraction form
    22,409.14/33,605.87 = 6,609.98/x
  3. Step 3: Cross multiply
    22,409.14x = 33,605.87 × 6,609.98
  4. Step 4: Simplify right side
    22,409.14x = 222,133,927.50
  5. Step 5: Solve for x
    x = 222,133,927.50/22,409.14
  6. Step 6: Final answer
    x = 9,912.65

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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.