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Finding the Fourth Proportional to 24,188.40, 33,380.55 and 13,578.84

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Solution

The fourth proportional to 24,188.40, 33,380.55 and 13,578.84 is: 18,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.40 : 33,380.55 = 13,578.84 : x
  2. Step 2: Convert to fraction form
    24,188.40/33,380.55 = 13,578.84/x
  3. Step 3: Cross multiply
    24,188.40x = 33,380.55 × 13,578.84
  4. Step 4: Simplify right side
    24,188.40x = 453,269,147.56
  5. Step 5: Solve for x
    x = 453,269,147.56/24,188.40
  6. Step 6: Final answer
    x = 18,739.11

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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.