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Finding the Fourth Proportional to 22,506.22, 33,763.44 and 7,716.64

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Solution

The fourth proportional to 22,506.22, 33,763.44 and 7,716.64 is: 11,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.22 : 33,763.44 = 7,716.64 : x
  2. Step 2: Convert to fraction form
    22,506.22/33,763.44 = 7,716.64/x
  3. Step 3: Cross multiply
    22,506.22x = 33,763.44 × 7,716.64
  4. Step 4: Simplify right side
    22,506.22x = 260,540,311.64
  5. Step 5: Solve for x
    x = 260,540,311.64/22,506.22
  6. Step 6: Final answer
    x = 11,576.37

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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.