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Finding the Fourth Proportional to 17,761.72, 24,512.78 and 10,687

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Solution

The fourth proportional to 17,761.72, 24,512.78 and 10,687 is: 14,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.72 : 24,512.78 = 10,687 : x
  2. Step 2: Convert to fraction form
    17,761.72/24,512.78 = 10,687/x
  3. Step 3: Cross multiply
    17,761.72x = 24,512.78 × 10,687
  4. Step 4: Simplify right side
    17,761.72x = 261,968,079.86
  5. Step 5: Solve for x
    x = 261,968,079.86/17,761.72
  6. Step 6: Final answer
    x = 14,749.03

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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.