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Finding the Fourth Proportional to 17,650.25, 24,357.73 and 9,692.50

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Solution

The fourth proportional to 17,650.25, 24,357.73 and 9,692.50 is: 13,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.25 : 24,357.73 = 9,692.50 : x
  2. Step 2: Convert to fraction form
    17,650.25/24,357.73 = 9,692.50/x
  3. Step 3: Cross multiply
    17,650.25x = 24,357.73 × 9,692.50
  4. Step 4: Simplify right side
    17,650.25x = 236,087,298.03
  5. Step 5: Solve for x
    x = 236,087,298.03/17,650.25
  6. Step 6: Final answer
    x = 13,375.86

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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.