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Finding the Fourth Proportional to 30,397.82, 41,956 and 17,826.62

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Solution

The fourth proportional to 30,397.82, 41,956 and 17,826.62 is: 24,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.82 : 41,956 = 17,826.62 : x
  2. Step 2: Convert to fraction form
    30,397.82/41,956 = 17,826.62/x
  3. Step 3: Cross multiply
    30,397.82x = 41,956 × 17,826.62
  4. Step 4: Simplify right side
    30,397.82x = 747,933,668.72
  5. Step 5: Solve for x
    x = 747,933,668.72/30,397.82
  6. Step 6: Final answer
    x = 24,604.85

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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.