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Finding the Fourth Proportional to 16,333.91, 22,531.17 and 10,274.49

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Solution

The fourth proportional to 16,333.91, 22,531.17 and 10,274.49 is: 14,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.91 : 22,531.17 = 10,274.49 : x
  2. Step 2: Convert to fraction form
    16,333.91/22,531.17 = 10,274.49/x
  3. Step 3: Cross multiply
    16,333.91x = 22,531.17 × 10,274.49
  4. Step 4: Simplify right side
    16,333.91x = 231,496,280.85
  5. Step 5: Solve for x
    x = 231,496,280.85/16,333.91
  6. Step 6: Final answer
    x = 14,172.75

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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.