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Finding the Fourth Proportional to 21,952.44, 32,934.06 and 6,369.84

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Solution

The fourth proportional to 21,952.44, 32,934.06 and 6,369.84 is: 9,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952.44 : 32,934.06 = 6,369.84 : x
  2. Step 2: Convert to fraction form
    21,952.44/32,934.06 = 6,369.84/x
  3. Step 3: Cross multiply
    21,952.44x = 32,934.06 × 6,369.84
  4. Step 4: Simplify right side
    21,952.44x = 209,784,692.75
  5. Step 5: Solve for x
    x = 209,784,692.75/21,952.44
  6. Step 6: Final answer
    x = 9,556.33

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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.