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Finding the Fourth Proportional to 22,905.42, 31,611.22 and 14,414.82

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Solution

The fourth proportional to 22,905.42, 31,611.22 and 14,414.82 is: 19,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905.42 : 31,611.22 = 14,414.82 : x
  2. Step 2: Convert to fraction form
    22,905.42/31,611.22 = 14,414.82/x
  3. Step 3: Cross multiply
    22,905.42x = 31,611.22 × 14,414.82
  4. Step 4: Simplify right side
    22,905.42x = 455,669,891.70
  5. Step 5: Solve for x
    x = 455,669,891.70/22,905.42
  6. Step 6: Final answer
    x = 19,893.54

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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.