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Finding the Fourth Proportional to 16,144.44, 22,285.62 and 10,174.94

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Solution

The fourth proportional to 16,144.44, 22,285.62 and 10,174.94 is: 14,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.44 : 22,285.62 = 10,174.94 : x
  2. Step 2: Convert to fraction form
    16,144.44/22,285.62 = 10,174.94/x
  3. Step 3: Cross multiply
    16,144.44x = 22,285.62 × 10,174.94
  4. Step 4: Simplify right side
    16,144.44x = 226,754,846.36
  5. Step 5: Solve for x
    x = 226,754,846.36/16,144.44
  6. Step 6: Final answer
    x = 14,045.38

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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.