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Finding the Fourth Proportional to 17,665.24, 26,492 and 7,132.54

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Solution

The fourth proportional to 17,665.24, 26,492 and 7,132.54 is: 10,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.24 : 26,492 = 7,132.54 : x
  2. Step 2: Convert to fraction form
    17,665.24/26,492 = 7,132.54/x
  3. Step 3: Cross multiply
    17,665.24x = 26,492 × 7,132.54
  4. Step 4: Simplify right side
    17,665.24x = 188,955,249.68
  5. Step 5: Solve for x
    x = 188,955,249.68/17,665.24
  6. Step 6: Final answer
    x = 10,696.44

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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.