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Finding the Fourth Proportional to 24,292.56, 33,517.87 and 13,682.19

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Solution

The fourth proportional to 24,292.56, 33,517.87 and 13,682.19 is: 18,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.56 : 33,517.87 = 13,682.19 : x
  2. Step 2: Convert to fraction form
    24,292.56/33,517.87 = 13,682.19/x
  3. Step 3: Cross multiply
    24,292.56x = 33,517.87 × 13,682.19
  4. Step 4: Simplify right side
    24,292.56x = 458,597,865.74
  5. Step 5: Solve for x
    x = 458,597,865.74/24,292.56
  6. Step 6: Final answer
    x = 18,878.12

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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.