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Finding the Fourth Proportional to 30,377.26, 41,920.66 and 17,802

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Solution

The fourth proportional to 30,377.26, 41,920.66 and 17,802 is: 24,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,377.26 : 41,920.66 = 17,802 : x
  2. Step 2: Convert to fraction form
    30,377.26/41,920.66 = 17,802/x
  3. Step 3: Cross multiply
    30,377.26x = 41,920.66 × 17,802
  4. Step 4: Simplify right side
    30,377.26x = 746,271,589.32
  5. Step 5: Solve for x
    x = 746,271,589.32/30,377.26
  6. Step 6: Final answer
    x = 24,566.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.