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Finding the Fourth Proportional to 16,385.63, 24,578.51 and 5,997.38

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Solution

The fourth proportional to 16,385.63, 24,578.51 and 5,997.38 is: 8,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.63 : 24,578.51 = 5,997.38 : x
  2. Step 2: Convert to fraction form
    16,385.63/24,578.51 = 5,997.38/x
  3. Step 3: Cross multiply
    16,385.63x = 24,578.51 × 5,997.38
  4. Step 4: Simplify right side
    16,385.63x = 147,406,511.42
  5. Step 5: Solve for x
    x = 147,406,511.42/16,385.63
  6. Step 6: Final answer
    x = 8,996.09

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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.