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Finding the Fourth Proportional to 16,697.70, 23,043.20 and 9,144.38

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Solution

The fourth proportional to 16,697.70, 23,043.20 and 9,144.38 is: 12,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.70 : 23,043.20 = 9,144.38 : x
  2. Step 2: Convert to fraction form
    16,697.70/23,043.20 = 9,144.38/x
  3. Step 3: Cross multiply
    16,697.70x = 23,043.20 × 9,144.38
  4. Step 4: Simplify right side
    16,697.70x = 210,715,616.28
  5. Step 5: Solve for x
    x = 210,715,616.28/16,697.70
  6. Step 6: Final answer
    x = 12,619.44

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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.