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Finding the Fourth Proportional to 23,724.94, 35,591.50 and 9,692.58

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Solution

The fourth proportional to 23,724.94, 35,591.50 and 9,692.58 is: 14,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724.94 : 35,591.50 = 9,692.58 : x
  2. Step 2: Convert to fraction form
    23,724.94/35,591.50 = 9,692.58/x
  3. Step 3: Cross multiply
    23,724.94x = 35,591.50 × 9,692.58
  4. Step 4: Simplify right side
    23,724.94x = 344,973,461.07
  5. Step 5: Solve for x
    x = 344,973,461.07/23,724.94
  6. Step 6: Final answer
    x = 14,540.54

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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.