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Finding the Fourth Proportional to 17,546.42, 24,198 and 13,718.59

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Solution

The fourth proportional to 17,546.42, 24,198 and 13,718.59 is: 18,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.42 : 24,198 = 13,718.59 : x
  2. Step 2: Convert to fraction form
    17,546.42/24,198 = 13,718.59/x
  3. Step 3: Cross multiply
    17,546.42x = 24,198 × 13,718.59
  4. Step 4: Simplify right side
    17,546.42x = 331,962,440.82
  5. Step 5: Solve for x
    x = 331,962,440.82/17,546.42
  6. Step 6: Final answer
    x = 18,919.10

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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.