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Finding the Fourth Proportional to 14,997.16, 20,692.74 and 9,691.24

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Solution

The fourth proportional to 14,997.16, 20,692.74 and 9,691.24 is: 13,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.16 : 20,692.74 = 9,691.24 : x
  2. Step 2: Convert to fraction form
    14,997.16/20,692.74 = 9,691.24/x
  3. Step 3: Cross multiply
    14,997.16x = 20,692.74 × 9,691.24
  4. Step 4: Simplify right side
    14,997.16x = 200,538,309.60
  5. Step 5: Solve for x
    x = 200,538,309.60/14,997.16
  6. Step 6: Final answer
    x = 13,371.75

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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.