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Finding the Fourth Proportional to 22,198.50, 33,308.08 and 9,716.87

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Solution

The fourth proportional to 22,198.50, 33,308.08 and 9,716.87 is: 14,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.50 : 33,308.08 = 9,716.87 : x
  2. Step 2: Convert to fraction form
    22,198.50/33,308.08 = 9,716.87/x
  3. Step 3: Cross multiply
    22,198.50x = 33,308.08 × 9,716.87
  4. Step 4: Simplify right side
    22,198.50x = 323,650,342.29
  5. Step 5: Solve for x
    x = 323,650,342.29/22,198.50
  6. Step 6: Final answer
    x = 14,579.83

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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.