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Finding the Fourth Proportional to 12,162.88, 16,781.60 and 7,192.64

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Solution

The fourth proportional to 12,162.88, 16,781.60 and 7,192.64 is: 9,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.88 : 16,781.60 = 7,192.64 : x
  2. Step 2: Convert to fraction form
    12,162.88/16,781.60 = 7,192.64/x
  3. Step 3: Cross multiply
    12,162.88x = 16,781.60 × 7,192.64
  4. Step 4: Simplify right side
    12,162.88x = 120,704,007.42
  5. Step 5: Solve for x
    x = 120,704,007.42/12,162.88
  6. Step 6: Final answer
    x = 9,923.97

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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.