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Finding the Fourth Proportional to 22,647.25, 31,253.21 and 13,213.99

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Solution

The fourth proportional to 22,647.25, 31,253.21 and 13,213.99 is: 18,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.25 : 31,253.21 = 13,213.99 : x
  2. Step 2: Convert to fraction form
    22,647.25/31,253.21 = 13,213.99/x
  3. Step 3: Cross multiply
    22,647.25x = 31,253.21 × 13,213.99
  4. Step 4: Simplify right side
    22,647.25x = 412,979,604.41
  5. Step 5: Solve for x
    x = 412,979,604.41/22,647.25
  6. Step 6: Final answer
    x = 18,235.31

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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.