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Finding the Fourth Proportional to 22,522.84, 31,091.82 and 16,067.41

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Solution

The fourth proportional to 22,522.84, 31,091.82 and 16,067.41 is: 22,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.84 : 31,091.82 = 16,067.41 : x
  2. Step 2: Convert to fraction form
    22,522.84/31,091.82 = 16,067.41/x
  3. Step 3: Cross multiply
    22,522.84x = 31,091.82 × 16,067.41
  4. Step 4: Simplify right side
    22,522.84x = 499,564,881.60
  5. Step 5: Solve for x
    x = 499,564,881.60/22,522.84
  6. Step 6: Final answer
    x = 22,180.37

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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.