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Finding the Fourth Proportional to 16,169.71, 22,313.64 and 8,999.39

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Solution

The fourth proportional to 16,169.71, 22,313.64 and 8,999.39 is: 12,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.71 : 22,313.64 = 8,999.39 : x
  2. Step 2: Convert to fraction form
    16,169.71/22,313.64 = 8,999.39/x
  3. Step 3: Cross multiply
    16,169.71x = 22,313.64 × 8,999.39
  4. Step 4: Simplify right side
    16,169.71x = 200,809,148.68
  5. Step 5: Solve for x
    x = 200,809,148.68/16,169.71
  6. Step 6: Final answer
    x = 12,418.85

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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.