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Finding the Fourth Proportional to 16,046.76, 22,144.32 and 8,973.12

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Solution

The fourth proportional to 16,046.76, 22,144.32 and 8,973.12 is: 12,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.76 : 22,144.32 = 8,973.12 : x
  2. Step 2: Convert to fraction form
    16,046.76/22,144.32 = 8,973.12/x
  3. Step 3: Cross multiply
    16,046.76x = 22,144.32 × 8,973.12
  4. Step 4: Simplify right side
    16,046.76x = 198,703,640.68
  5. Step 5: Solve for x
    x = 198,703,640.68/16,046.76
  6. Step 6: Final answer
    x = 12,382.79

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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.