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Finding the Fourth Proportional to 22,452.09, 33,678.14 and 12,462.98

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Solution

The fourth proportional to 22,452.09, 33,678.14 and 12,462.98 is: 18,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.09 : 33,678.14 = 12,462.98 : x
  2. Step 2: Convert to fraction form
    22,452.09/33,678.14 = 12,462.98/x
  3. Step 3: Cross multiply
    22,452.09x = 33,678.14 × 12,462.98
  4. Step 4: Simplify right side
    22,452.09x = 419,729,754.55
  5. Step 5: Solve for x
    x = 419,729,754.55/22,452.09
  6. Step 6: Final answer
    x = 18,694.46

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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.