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Finding the Fourth Proportional to 17,559, 24,231.42 and 10,107

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Solution

The fourth proportional to 17,559, 24,231.42 and 10,107 is: 13,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,559 : 24,231.42 = 10,107 : x
  2. Step 2: Convert to fraction form
    17,559/24,231.42 = 10,107/x
  3. Step 3: Cross multiply
    17,559x = 24,231.42 × 10,107
  4. Step 4: Simplify right side
    17,559x = 244,906,961.94
  5. Step 5: Solve for x
    x = 244,906,961.94/17,559
  6. Step 6: Final answer
    x = 13,947.66

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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.