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Finding the Fourth Proportional to 17,046.96, 23,524.98 and 9,972

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Solution

The fourth proportional to 17,046.96, 23,524.98 and 9,972 is: 13,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046.96 : 23,524.98 = 9,972 : x
  2. Step 2: Convert to fraction form
    17,046.96/23,524.98 = 9,972/x
  3. Step 3: Cross multiply
    17,046.96x = 23,524.98 × 9,972
  4. Step 4: Simplify right side
    17,046.96x = 234,591,100.56
  5. Step 5: Solve for x
    x = 234,591,100.56/17,046.96
  6. Step 6: Final answer
    x = 13,761.46

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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.