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Finding the Fourth Proportional to 23,893.50, 35,817.87 and 8,087.47

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Solution

The fourth proportional to 23,893.50, 35,817.87 and 8,087.47 is: 12,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.50 : 35,817.87 = 8,087.47 : x
  2. Step 2: Convert to fraction form
    23,893.50/35,817.87 = 8,087.47/x
  3. Step 3: Cross multiply
    23,893.50x = 35,817.87 × 8,087.47
  4. Step 4: Simplify right side
    23,893.50x = 289,676,068.60
  5. Step 5: Solve for x
    x = 289,676,068.60/23,893.50
  6. Step 6: Final answer
    x = 12,123.63

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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.