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Finding the Fourth Proportional to 30,214.94, 41,694.68 and 16,785.95

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Solution

The fourth proportional to 30,214.94, 41,694.68 and 16,785.95 is: 23,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.94 : 41,694.68 = 16,785.95 : x
  2. Step 2: Convert to fraction form
    30,214.94/41,694.68 = 16,785.95/x
  3. Step 3: Cross multiply
    30,214.94x = 41,694.68 × 16,785.95
  4. Step 4: Simplify right side
    30,214.94x = 699,884,647.24
  5. Step 5: Solve for x
    x = 699,884,647.24/30,214.94
  6. Step 6: Final answer
    x = 23,163.53

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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.