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Finding the Fourth Proportional to 24,157.88, 33,338.21 and 14,596.44

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Solution

The fourth proportional to 24,157.88, 33,338.21 and 14,596.44 is: 20,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.88 : 33,338.21 = 14,596.44 : x
  2. Step 2: Convert to fraction form
    24,157.88/33,338.21 = 14,596.44/x
  3. Step 3: Cross multiply
    24,157.88x = 33,338.21 × 14,596.44
  4. Step 4: Simplify right side
    24,157.88x = 486,619,181.97
  5. Step 5: Solve for x
    x = 486,619,181.97/24,157.88
  6. Step 6: Final answer
    x = 20,143.29

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