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Finding the Fourth Proportional to 16,553.38, 22,843.65 and 8,999.70

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Solution

The fourth proportional to 16,553.38, 22,843.65 and 8,999.70 is: 12,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.38 : 22,843.65 = 8,999.70 : x
  2. Step 2: Convert to fraction form
    16,553.38/22,843.65 = 8,999.70/x
  3. Step 3: Cross multiply
    16,553.38x = 22,843.65 × 8,999.70
  4. Step 4: Simplify right side
    16,553.38x = 205,585,996.91
  5. Step 5: Solve for x
    x = 205,585,996.91/16,553.38
  6. Step 6: Final answer
    x = 12,419.58

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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.