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Finding the Fourth Proportional to 14,665.82, 20,238.62 and 7,951.32

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Solution

The fourth proportional to 14,665.82, 20,238.62 and 7,951.32 is: 10,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.82 : 20,238.62 = 7,951.32 : x
  2. Step 2: Convert to fraction form
    14,665.82/20,238.62 = 7,951.32/x
  3. Step 3: Cross multiply
    14,665.82x = 20,238.62 × 7,951.32
  4. Step 4: Simplify right side
    14,665.82x = 160,923,743.98
  5. Step 5: Solve for x
    x = 160,923,743.98/14,665.82
  6. Step 6: Final answer
    x = 10,972.71

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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.