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Finding the Fourth Proportional to 16,385.01, 24,578.79 and 5,857.30

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Solution

The fourth proportional to 16,385.01, 24,578.79 and 5,857.30 is: 8,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.01 : 24,578.79 = 5,857.30 : x
  2. Step 2: Convert to fraction form
    16,385.01/24,578.79 = 5,857.30/x
  3. Step 3: Cross multiply
    16,385.01x = 24,578.79 × 5,857.30
  4. Step 4: Simplify right side
    16,385.01x = 143,965,346.67
  5. Step 5: Solve for x
    x = 143,965,346.67/16,385.01
  6. Step 6: Final answer
    x = 8,786.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.