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Finding the Fourth Proportional to 17,102.01, 25,655.75 and 7,241.38

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Solution

The fourth proportional to 17,102.01, 25,655.75 and 7,241.38 is: 10,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.01 : 25,655.75 = 7,241.38 : x
  2. Step 2: Convert to fraction form
    17,102.01/25,655.75 = 7,241.38/x
  3. Step 3: Cross multiply
    17,102.01x = 25,655.75 × 7,241.38
  4. Step 4: Simplify right side
    17,102.01x = 185,782,988.90
  5. Step 5: Solve for x
    x = 185,782,988.90/17,102.01
  6. Step 6: Final answer
    x = 10,863.23

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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.