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Finding the Fourth Proportional to 30,284.68, 41,794.86 and 16,855.78

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Solution

The fourth proportional to 30,284.68, 41,794.86 and 16,855.78 is: 23,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.68 : 41,794.86 = 16,855.78 : x
  2. Step 2: Convert to fraction form
    30,284.68/41,794.86 = 16,855.78/x
  3. Step 3: Cross multiply
    30,284.68x = 41,794.86 × 16,855.78
  4. Step 4: Simplify right side
    30,284.68x = 704,484,965.29
  5. Step 5: Solve for x
    x = 704,484,965.29/30,284.68
  6. Step 6: Final answer
    x = 23,262.09

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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.