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Finding the Fourth Proportional to 22,745.70, 31,388.64 and 12,673.92

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Solution

The fourth proportional to 22,745.70, 31,388.64 and 12,673.92 is: 17,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,745.70 : 31,388.64 = 12,673.92 : x
  2. Step 2: Convert to fraction form
    22,745.70/31,388.64 = 12,673.92/x
  3. Step 3: Cross multiply
    22,745.70x = 31,388.64 × 12,673.92
  4. Step 4: Simplify right side
    22,745.70x = 397,817,229.98
  5. Step 5: Solve for x
    x = 397,817,229.98/22,745.70
  6. Step 6: Final answer
    x = 17,489.78

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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.