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Finding the Fourth Proportional to 17,633.88, 26,444.14 and 7,100.31

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Solution

The fourth proportional to 17,633.88, 26,444.14 and 7,100.31 is: 10,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.88 : 26,444.14 = 7,100.31 : x
  2. Step 2: Convert to fraction form
    17,633.88/26,444.14 = 7,100.31/x
  3. Step 3: Cross multiply
    17,633.88x = 26,444.14 × 7,100.31
  4. Step 4: Simplify right side
    17,633.88x = 187,761,591.68
  5. Step 5: Solve for x
    x = 187,761,591.68/17,633.88
  6. Step 6: Final answer
    x = 10,647.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.