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Finding the Fourth Proportional to 17,892.66, 24,692.31 and 9,934.50

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Solution

The fourth proportional to 17,892.66, 24,692.31 and 9,934.50 is: 13,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,892.66 : 24,692.31 = 9,934.50 : x
  2. Step 2: Convert to fraction form
    17,892.66/24,692.31 = 9,934.50/x
  3. Step 3: Cross multiply
    17,892.66x = 24,692.31 × 9,934.50
  4. Step 4: Simplify right side
    17,892.66x = 245,305,753.70
  5. Step 5: Solve for x
    x = 245,305,753.70/17,892.66
  6. Step 6: Final answer
    x = 13,709.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.