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Finding the Fourth Proportional to 17,174.88, 23,706 and 10,103.58

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Solution

The fourth proportional to 17,174.88, 23,706 and 10,103.58 is: 13,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174.88 : 23,706 = 10,103.58 : x
  2. Step 2: Convert to fraction form
    17,174.88/23,706 = 10,103.58/x
  3. Step 3: Cross multiply
    17,174.88x = 23,706 × 10,103.58
  4. Step 4: Simplify right side
    17,174.88x = 239,515,467.48
  5. Step 5: Solve for x
    x = 239,515,467.48/17,174.88
  6. Step 6: Final answer
    x = 13,945.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.