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Finding the Fourth Proportional to 16,761.82, 23,129.97 and 9,688.70

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Solution

The fourth proportional to 16,761.82, 23,129.97 and 9,688.70 is: 13,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761.82 : 23,129.97 = 9,688.70 : x
  2. Step 2: Convert to fraction form
    16,761.82/23,129.97 = 9,688.70/x
  3. Step 3: Cross multiply
    16,761.82x = 23,129.97 × 9,688.70
  4. Step 4: Simplify right side
    16,761.82x = 224,099,340.34
  5. Step 5: Solve for x
    x = 224,099,340.34/16,761.82
  6. Step 6: Final answer
    x = 13,369.63

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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.