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Finding the Fourth Proportional to 22,450.81, 33,675.87 and 5,809.50

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Solution

The fourth proportional to 22,450.81, 33,675.87 and 5,809.50 is: 8,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,450.81 : 33,675.87 = 5,809.50 : x
  2. Step 2: Convert to fraction form
    22,450.81/33,675.87 = 5,809.50/x
  3. Step 3: Cross multiply
    22,450.81x = 33,675.87 × 5,809.50
  4. Step 4: Simplify right side
    22,450.81x = 195,639,798.39
  5. Step 5: Solve for x
    x = 195,639,798.39/22,450.81
  6. Step 6: Final answer
    x = 8,714.15

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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.