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Finding the Fourth Proportional to 17,785.49, 24,555.42 and 11,414.82

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Solution

The fourth proportional to 17,785.49, 24,555.42 and 11,414.82 is: 15,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.49 : 24,555.42 = 11,414.82 : x
  2. Step 2: Convert to fraction form
    17,785.49/24,555.42 = 11,414.82/x
  3. Step 3: Cross multiply
    17,785.49x = 24,555.42 × 11,414.82
  4. Step 4: Simplify right side
    17,785.49x = 280,295,699.32
  5. Step 5: Solve for x
    x = 280,295,699.32/17,785.49
  6. Step 6: Final answer
    x = 15,759.80

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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.