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Finding the Fourth Proportional to 12,212.71, 18,322.26 and 5,192.98

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Solution

The fourth proportional to 12,212.71, 18,322.26 and 5,192.98 is: 7,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.71 : 18,322.26 = 5,192.98 : x
  2. Step 2: Convert to fraction form
    12,212.71/18,322.26 = 5,192.98/x
  3. Step 3: Cross multiply
    12,212.71x = 18,322.26 × 5,192.98
  4. Step 4: Simplify right side
    12,212.71x = 95,147,129.73
  5. Step 5: Solve for x
    x = 95,147,129.73/12,212.71
  6. Step 6: Final answer
    x = 7,790.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.