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Finding the Fourth Proportional to 17,022, 25,532.82 and 6,641.04

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Solution

The fourth proportional to 17,022, 25,532.82 and 6,641.04 is: 9,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022 : 25,532.82 = 6,641.04 : x
  2. Step 2: Convert to fraction form
    17,022/25,532.82 = 6,641.04/x
  3. Step 3: Cross multiply
    17,022x = 25,532.82 × 6,641.04
  4. Step 4: Simplify right side
    17,022x = 169,564,478.93
  5. Step 5: Solve for x
    x = 169,564,478.93/17,022
  6. Step 6: Final answer
    x = 9,961.49

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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.