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Finding the Fourth Proportional to 16,500.20, 22,768.10 and 9,331.10

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Solution

The fourth proportional to 16,500.20, 22,768.10 and 9,331.10 is: 12,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.20 : 22,768.10 = 9,331.10 : x
  2. Step 2: Convert to fraction form
    16,500.20/22,768.10 = 9,331.10/x
  3. Step 3: Cross multiply
    16,500.20x = 22,768.10 × 9,331.10
  4. Step 4: Simplify right side
    16,500.20x = 212,451,327.40
  5. Step 5: Solve for x
    x = 212,451,327.40/16,500.20
  6. Step 6: Final answer
    x = 12,875.68

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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.