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Finding the Fourth Proportional to 15,724.40, 21,692.40 and 9,425.84

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Solution

The fourth proportional to 15,724.40, 21,692.40 and 9,425.84 is: 13,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.40 : 21,692.40 = 9,425.84 : x
  2. Step 2: Convert to fraction form
    15,724.40/21,692.40 = 9,425.84/x
  3. Step 3: Cross multiply
    15,724.40x = 21,692.40 × 9,425.84
  4. Step 4: Simplify right side
    15,724.40x = 204,469,091.62
  5. Step 5: Solve for x
    x = 204,469,091.62/15,724.40
  6. Step 6: Final answer
    x = 13,003.30

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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.