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Finding the Fourth Proportional to 22,672.12, 31,286.21 and 12,599.98

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Solution

The fourth proportional to 22,672.12, 31,286.21 and 12,599.98 is: 17,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.12 : 31,286.21 = 12,599.98 : x
  2. Step 2: Convert to fraction form
    22,672.12/31,286.21 = 12,599.98/x
  3. Step 3: Cross multiply
    22,672.12x = 31,286.21 × 12,599.98
  4. Step 4: Simplify right side
    22,672.12x = 394,205,620.28
  5. Step 5: Solve for x
    x = 394,205,620.28/22,672.12
  6. Step 6: Final answer
    x = 17,387.24

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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.