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Finding the Fourth Proportional to 22,438.65, 33,662.64 and 6,642.43

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Solution

The fourth proportional to 22,438.65, 33,662.64 and 6,642.43 is: 9,965.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.65 : 33,662.64 = 6,642.43 : x
  2. Step 2: Convert to fraction form
    22,438.65/33,662.64 = 6,642.43/x
  3. Step 3: Cross multiply
    22,438.65x = 33,662.64 × 6,642.43
  4. Step 4: Simplify right side
    22,438.65x = 223,601,729.82
  5. Step 5: Solve for x
    x = 223,601,729.82/22,438.65
  6. Step 6: Final answer
    x = 9,965.03

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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.