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Finding the Fourth Proportional to 17,910.82, 24,735.30 and 13,427.47

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Solution

The fourth proportional to 17,910.82, 24,735.30 and 13,427.47 is: 18,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,910.82 : 24,735.30 = 13,427.47 : x
  2. Step 2: Convert to fraction form
    17,910.82/24,735.30 = 13,427.47/x
  3. Step 3: Cross multiply
    17,910.82x = 24,735.30 × 13,427.47
  4. Step 4: Simplify right side
    17,910.82x = 332,132,498.69
  5. Step 5: Solve for x
    x = 332,132,498.69/17,910.82
  6. Step 6: Final answer
    x = 18,543.68

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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.