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Finding the Fourth Proportional to 17,035.92, 25,544.16 and 6,642

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Solution

The fourth proportional to 17,035.92, 25,544.16 and 6,642 is: 9,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035.92 : 25,544.16 = 6,642 : x
  2. Step 2: Convert to fraction form
    17,035.92/25,544.16 = 6,642/x
  3. Step 3: Cross multiply
    17,035.92x = 25,544.16 × 6,642
  4. Step 4: Simplify right side
    17,035.92x = 169,664,310.72
  5. Step 5: Solve for x
    x = 169,664,310.72/17,035.92
  6. Step 6: Final answer
    x = 9,959.21

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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.