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Finding the Fourth Proportional to 11,692.62, 17,563.23 and 9,588.24

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Solution

The fourth proportional to 11,692.62, 17,563.23 and 9,588.24 is: 14,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.62 : 17,563.23 = 9,588.24 : x
  2. Step 2: Convert to fraction form
    11,692.62/17,563.23 = 9,588.24/x
  3. Step 3: Cross multiply
    11,692.62x = 17,563.23 × 9,588.24
  4. Step 4: Simplify right side
    11,692.62x = 168,400,464.42
  5. Step 5: Solve for x
    x = 168,400,464.42/11,692.62
  6. Step 6: Final answer
    x = 14,402.29

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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.