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Finding the Fourth Proportional to 17,713.85, 24,446.84 and 13,229.82

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Solution

The fourth proportional to 17,713.85, 24,446.84 and 13,229.82 is: 18,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.85 : 24,446.84 = 13,229.82 : x
  2. Step 2: Convert to fraction form
    17,713.85/24,446.84 = 13,229.82/x
  3. Step 3: Cross multiply
    17,713.85x = 24,446.84 × 13,229.82
  4. Step 4: Simplify right side
    17,713.85x = 323,427,190.76
  5. Step 5: Solve for x
    x = 323,427,190.76/17,713.85
  6. Step 6: Final answer
    x = 18,258.44

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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.