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Finding the Fourth Proportional to 17,242.98, 25,897.27 and 10,714.78

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Solution

The fourth proportional to 17,242.98, 25,897.27 and 10,714.78 is: 16,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.98 : 25,897.27 = 10,714.78 : x
  2. Step 2: Convert to fraction form
    17,242.98/25,897.27 = 10,714.78/x
  3. Step 3: Cross multiply
    17,242.98x = 25,897.27 × 10,714.78
  4. Step 4: Simplify right side
    17,242.98x = 277,483,576.33
  5. Step 5: Solve for x
    x = 277,483,576.33/17,242.98
  6. Step 6: Final answer
    x = 16,092.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.