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Finding the Fourth Proportional to 17,021.50, 25,536.57 and 6,495.82

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Solution

The fourth proportional to 17,021.50, 25,536.57 and 6,495.82 is: 9,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,021.50 : 25,536.57 = 6,495.82 : x
  2. Step 2: Convert to fraction form
    17,021.50/25,536.57 = 6,495.82/x
  3. Step 3: Cross multiply
    17,021.50x = 25,536.57 × 6,495.82
  4. Step 4: Simplify right side
    17,021.50x = 165,880,962.14
  5. Step 5: Solve for x
    x = 165,880,962.14/17,021.50
  6. Step 6: Final answer
    x = 9,745.38

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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.