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Finding the Fourth Proportional to 17,089, 25,634.27 and 5,241.90

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Solution

The fourth proportional to 17,089, 25,634.27 and 5,241.90 is: 7,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089 : 25,634.27 = 5,241.90 : x
  2. Step 2: Convert to fraction form
    17,089/25,634.27 = 5,241.90/x
  3. Step 3: Cross multiply
    17,089x = 25,634.27 × 5,241.90
  4. Step 4: Simplify right side
    17,089x = 134,372,279.91
  5. Step 5: Solve for x
    x = 134,372,279.91/17,089
  6. Step 6: Final answer
    x = 7,863.09

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Why These Related Problems?

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