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Finding the Fourth Proportional to 18,460.10, 27,692.89 and 5,975.94

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Solution

The fourth proportional to 18,460.10, 27,692.89 and 5,975.94 is: 8,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,460.10 : 27,692.89 = 5,975.94 : x
  2. Step 2: Convert to fraction form
    18,460.10/27,692.89 = 5,975.94/x
  3. Step 3: Cross multiply
    18,460.10x = 27,692.89 × 5,975.94
  4. Step 4: Simplify right side
    18,460.10x = 165,491,049.07
  5. Step 5: Solve for x
    x = 165,491,049.07/18,460.10
  6. Step 6: Final answer
    x = 8,964.80

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Why These Related Problems?

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