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Finding the Fourth Proportional to 16,571.49, 22,863.50 and 9,400.22

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Solution

The fourth proportional to 16,571.49, 22,863.50 and 9,400.22 is: 12,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.49 : 22,863.50 = 9,400.22 : x
  2. Step 2: Convert to fraction form
    16,571.49/22,863.50 = 9,400.22/x
  3. Step 3: Cross multiply
    16,571.49x = 22,863.50 × 9,400.22
  4. Step 4: Simplify right side
    16,571.49x = 214,921,929.97
  5. Step 5: Solve for x
    x = 214,921,929.97/16,571.49
  6. Step 6: Final answer
    x = 12,969.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.