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Finding the Fourth Proportional to 16,046.16, 22,144.71 and 8,972.61

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Solution

The fourth proportional to 16,046.16, 22,144.71 and 8,972.61 is: 12,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.16 : 22,144.71 = 8,972.61 : x
  2. Step 2: Convert to fraction form
    16,046.16/22,144.71 = 8,972.61/x
  3. Step 3: Cross multiply
    16,046.16x = 22,144.71 × 8,972.61
  4. Step 4: Simplify right side
    16,046.16x = 198,695,846.39
  5. Step 5: Solve for x
    x = 198,695,846.39/16,046.16
  6. Step 6: Final answer
    x = 12,382.77

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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.