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Finding the Fourth Proportional to 17,177, 23,704.26 and 9,725

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Solution

The fourth proportional to 17,177, 23,704.26 and 9,725 is: 13,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,177 : 23,704.26 = 9,725 : x
  2. Step 2: Convert to fraction form
    17,177/23,704.26 = 9,725/x
  3. Step 3: Cross multiply
    17,177x = 23,704.26 × 9,725
  4. Step 4: Simplify right side
    17,177x = 230,523,952.81
  5. Step 5: Solve for x
    x = 230,523,952.81/17,177
  6. Step 6: Final answer
    x = 13,420.50

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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.