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Finding the Fourth Proportional to 23,893.57, 35,817.96 and 8,087.54

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Solution

The fourth proportional to 23,893.57, 35,817.96 and 8,087.54 is: 12,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.57 : 35,817.96 = 8,087.54 : x
  2. Step 2: Convert to fraction form
    23,893.57/35,817.96 = 8,087.54/x
  3. Step 3: Cross multiply
    23,893.57x = 35,817.96 × 8,087.54
  4. Step 4: Simplify right side
    23,893.57x = 289,679,062.90
  5. Step 5: Solve for x
    x = 289,679,062.90/23,893.57
  6. Step 6: Final answer
    x = 12,123.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.