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Finding the Fourth Proportional to 16,046.22, 22,143.60 and 8,972.58

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Solution

The fourth proportional to 16,046.22, 22,143.60 and 8,972.58 is: 12,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.22 : 22,143.60 = 8,972.58 : x
  2. Step 2: Convert to fraction form
    16,046.22/22,143.60 = 8,972.58/x
  3. Step 3: Cross multiply
    16,046.22x = 22,143.60 × 8,972.58
  4. Step 4: Simplify right side
    16,046.22x = 198,685,222.49
  5. Step 5: Solve for x
    x = 198,685,222.49/16,046.22
  6. Step 6: Final answer
    x = 12,382.06

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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.