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Finding the Fourth Proportional to 23,734.17, 35,601.60 and 6,204

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Solution

The fourth proportional to 23,734.17, 35,601.60 and 6,204 is: 9,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734.17 : 35,601.60 = 6,204 : x
  2. Step 2: Convert to fraction form
    23,734.17/35,601.60 = 6,204/x
  3. Step 3: Cross multiply
    23,734.17x = 35,601.60 × 6,204
  4. Step 4: Simplify right side
    23,734.17x = 220,872,326.40
  5. Step 5: Solve for x
    x = 220,872,326.40/23,734.17
  6. Step 6: Final answer
    x = 9,306.09

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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.