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Finding the Fourth Proportional to 30,211.56, 41,691.39 and 16,782.68

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Solution

The fourth proportional to 30,211.56, 41,691.39 and 16,782.68 is: 23,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.56 : 41,691.39 = 16,782.68 : x
  2. Step 2: Convert to fraction form
    30,211.56/41,691.39 = 16,782.68/x
  3. Step 3: Cross multiply
    30,211.56x = 41,691.39 × 16,782.68
  4. Step 4: Simplify right side
    30,211.56x = 699,693,257.13
  5. Step 5: Solve for x
    x = 699,693,257.13/30,211.56
  6. Step 6: Final answer
    x = 23,159.79

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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.