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Finding the Fourth Proportional to 17,144.59, 23,658.78 and 10,777.72

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Solution

The fourth proportional to 17,144.59, 23,658.78 and 10,777.72 is: 14,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.59 : 23,658.78 = 10,777.72 : x
  2. Step 2: Convert to fraction form
    17,144.59/23,658.78 = 10,777.72/x
  3. Step 3: Cross multiply
    17,144.59x = 23,658.78 × 10,777.72
  4. Step 4: Simplify right side
    17,144.59x = 254,987,706.38
  5. Step 5: Solve for x
    x = 254,987,706.38/17,144.59
  6. Step 6: Final answer
    x = 14,872.78

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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.