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Finding the Fourth Proportional to 13,692.60, 18,895.19 and 7,724.79

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Solution

The fourth proportional to 13,692.60, 18,895.19 and 7,724.79 is: 10,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.60 : 18,895.19 = 7,724.79 : x
  2. Step 2: Convert to fraction form
    13,692.60/18,895.19 = 7,724.79/x
  3. Step 3: Cross multiply
    13,692.60x = 18,895.19 × 7,724.79
  4. Step 4: Simplify right side
    13,692.60x = 145,961,336.14
  5. Step 5: Solve for x
    x = 145,961,336.14/13,692.60
  6. Step 6: Final answer
    x = 10,659.87

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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.