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Finding the Fourth Proportional to 22,464.45, 33,686.91 and 11,932.20

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Solution

The fourth proportional to 22,464.45, 33,686.91 and 11,932.20 is: 17,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.45 : 33,686.91 = 11,932.20 : x
  2. Step 2: Convert to fraction form
    22,464.45/33,686.91 = 11,932.20/x
  3. Step 3: Cross multiply
    22,464.45x = 33,686.91 × 11,932.20
  4. Step 4: Simplify right side
    22,464.45x = 401,958,947.50
  5. Step 5: Solve for x
    x = 401,958,947.50/22,464.45
  6. Step 6: Final answer
    x = 17,893.11

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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.