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Finding the Fourth Proportional to 22,200.92, 30,638.20 and 12,769.50

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Solution

The fourth proportional to 22,200.92, 30,638.20 and 12,769.50 is: 17,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.92 : 30,638.20 = 12,769.50 : x
  2. Step 2: Convert to fraction form
    22,200.92/30,638.20 = 12,769.50/x
  3. Step 3: Cross multiply
    22,200.92x = 30,638.20 × 12,769.50
  4. Step 4: Simplify right side
    22,200.92x = 391,234,494.90
  5. Step 5: Solve for x
    x = 391,234,494.90/22,200.92
  6. Step 6: Final answer
    x = 17,622.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.