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Finding the Fourth Proportional to 24,692.68, 34,007.49 and 21,334.42

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Solution

The fourth proportional to 24,692.68, 34,007.49 and 21,334.42 is: 29,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.68 : 34,007.49 = 21,334.42 : x
  2. Step 2: Convert to fraction form
    24,692.68/34,007.49 = 21,334.42/x
  3. Step 3: Cross multiply
    24,692.68x = 34,007.49 × 21,334.42
  4. Step 4: Simplify right side
    24,692.68x = 725,530,074.81
  5. Step 5: Solve for x
    x = 725,530,074.81/24,692.68
  6. Step 6: Final answer
    x = 29,382.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.