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Finding the Fourth Proportional to 12,353.50, 18,532.17 and 4,147.42

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Solution

The fourth proportional to 12,353.50, 18,532.17 and 4,147.42 is: 6,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.50 : 18,532.17 = 4,147.42 : x
  2. Step 2: Convert to fraction form
    12,353.50/18,532.17 = 4,147.42/x
  3. Step 3: Cross multiply
    12,353.50x = 18,532.17 × 4,147.42
  4. Step 4: Simplify right side
    12,353.50x = 76,860,692.50
  5. Step 5: Solve for x
    x = 76,860,692.50/12,353.50
  6. Step 6: Final answer
    x = 6,221.77

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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.