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Finding the Fourth Proportional to 17,382.82, 26,074.20 and 4,902.82

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Solution

The fourth proportional to 17,382.82, 26,074.20 and 4,902.82 is: 7,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.82 : 26,074.20 = 4,902.82 : x
  2. Step 2: Convert to fraction form
    17,382.82/26,074.20 = 4,902.82/x
  3. Step 3: Cross multiply
    17,382.82x = 26,074.20 × 4,902.82
  4. Step 4: Simplify right side
    17,382.82x = 127,837,109.24
  5. Step 5: Solve for x
    x = 127,837,109.24/17,382.82
  6. Step 6: Final answer
    x = 7,354.22

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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.