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Finding the Fourth Proportional to 15,651.82, 21,609.75 and 9,692.25

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Solution

The fourth proportional to 15,651.82, 21,609.75 and 9,692.25 is: 13,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,651.82 : 21,609.75 = 9,692.25 : x
  2. Step 2: Convert to fraction form
    15,651.82/21,609.75 = 9,692.25/x
  3. Step 3: Cross multiply
    15,651.82x = 21,609.75 × 9,692.25
  4. Step 4: Simplify right side
    15,651.82x = 209,447,099.44
  5. Step 5: Solve for x
    x = 209,447,099.44/15,651.82
  6. Step 6: Final answer
    x = 13,381.65

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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.