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Finding the Fourth Proportional to 16,297, 22,489.92 and 8,845

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Solution

The fourth proportional to 16,297, 22,489.92 and 8,845 is: 12,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297 : 22,489.92 = 8,845 : x
  2. Step 2: Convert to fraction form
    16,297/22,489.92 = 8,845/x
  3. Step 3: Cross multiply
    16,297x = 22,489.92 × 8,845
  4. Step 4: Simplify right side
    16,297x = 198,923,342.40
  5. Step 5: Solve for x
    x = 198,923,342.40/16,297
  6. Step 6: Final answer
    x = 12,206.13

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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.