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Finding the Fourth Proportional to 13,467, 20,200.50 and 4,233

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Solution

The fourth proportional to 13,467, 20,200.50 and 4,233 is: 6,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467 : 20,200.50 = 4,233 : x
  2. Step 2: Convert to fraction form
    13,467/20,200.50 = 4,233/x
  3. Step 3: Cross multiply
    13,467x = 20,200.50 × 4,233
  4. Step 4: Simplify right side
    13,467x = 85,508,716.50
  5. Step 5: Solve for x
    x = 85,508,716.50/13,467
  6. Step 6: Final answer
    x = 6,349.50

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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.