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Finding the Fourth Proportional to 17,201.92, 25,799.64 and 6,671.92

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Solution

The fourth proportional to 17,201.92, 25,799.64 and 6,671.92 is: 10,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.92 : 25,799.64 = 6,671.92 : x
  2. Step 2: Convert to fraction form
    17,201.92/25,799.64 = 6,671.92/x
  3. Step 3: Cross multiply
    17,201.92x = 25,799.64 × 6,671.92
  4. Step 4: Simplify right side
    17,201.92x = 172,133,134.11
  5. Step 5: Solve for x
    x = 172,133,134.11/17,201.92
  6. Step 6: Final answer
    x = 10,006.62

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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.