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Finding the Fourth Proportional to 17,158, 25,736.24 and 6,633.04

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Solution

The fourth proportional to 17,158, 25,736.24 and 6,633.04 is: 9,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,158 : 25,736.24 = 6,633.04 : x
  2. Step 2: Convert to fraction form
    17,158/25,736.24 = 6,633.04/x
  3. Step 3: Cross multiply
    17,158x = 25,736.24 × 6,633.04
  4. Step 4: Simplify right side
    17,158x = 170,709,509.37
  5. Step 5: Solve for x
    x = 170,709,509.37/17,158
  6. Step 6: Final answer
    x = 9,949.27

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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.