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Finding the Fourth Proportional to 16,692.30, 23,035.74 and 9,138.96

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Solution

The fourth proportional to 16,692.30, 23,035.74 and 9,138.96 is: 12,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692.30 : 23,035.74 = 9,138.96 : x
  2. Step 2: Convert to fraction form
    16,692.30/23,035.74 = 9,138.96/x
  3. Step 3: Cross multiply
    16,692.30x = 23,035.74 × 9,138.96
  4. Step 4: Simplify right side
    16,692.30x = 210,522,706.43
  5. Step 5: Solve for x
    x = 210,522,706.43/16,692.30
  6. Step 6: Final answer
    x = 12,611.97

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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.