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Finding the Fourth Proportional to 12,640.32, 18,957.12 and 7,692.84

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Solution

The fourth proportional to 12,640.32, 18,957.12 and 7,692.84 is: 11,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.32 : 18,957.12 = 7,692.84 : x
  2. Step 2: Convert to fraction form
    12,640.32/18,957.12 = 7,692.84/x
  3. Step 3: Cross multiply
    12,640.32x = 18,957.12 × 7,692.84
  4. Step 4: Simplify right side
    12,640.32x = 145,834,091.02
  5. Step 5: Solve for x
    x = 145,834,091.02/12,640.32
  6. Step 6: Final answer
    x = 11,537.22

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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.