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Finding the Fourth Proportional to 22,205.48, 30,644.34 and 14,658.44

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Solution

The fourth proportional to 22,205.48, 30,644.34 and 14,658.44 is: 20,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.48 : 30,644.34 = 14,658.44 : x
  2. Step 2: Convert to fraction form
    22,205.48/30,644.34 = 14,658.44/x
  3. Step 3: Cross multiply
    22,205.48x = 30,644.34 × 14,658.44
  4. Step 4: Simplify right side
    22,205.48x = 449,198,219.23
  5. Step 5: Solve for x
    x = 449,198,219.23/22,205.48
  6. Step 6: Final answer
    x = 20,229.16

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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.