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Finding the Fourth Proportional to 17,949, 24,761.12 and 12,646.74

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Solution

The fourth proportional to 17,949, 24,761.12 and 12,646.74 is: 17,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,949 : 24,761.12 = 12,646.74 : x
  2. Step 2: Convert to fraction form
    17,949/24,761.12 = 12,646.74/x
  3. Step 3: Cross multiply
    17,949x = 24,761.12 × 12,646.74
  4. Step 4: Simplify right side
    17,949x = 313,147,383.52
  5. Step 5: Solve for x
    x = 313,147,383.52/17,949
  6. Step 6: Final answer
    x = 17,446.51

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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.