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Finding the Fourth Proportional to 16,105.80, 22,225.68 and 9,034.50

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Solution

The fourth proportional to 16,105.80, 22,225.68 and 9,034.50 is: 12,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.80 : 22,225.68 = 9,034.50 : x
  2. Step 2: Convert to fraction form
    16,105.80/22,225.68 = 9,034.50/x
  3. Step 3: Cross multiply
    16,105.80x = 22,225.68 × 9,034.50
  4. Step 4: Simplify right side
    16,105.80x = 200,797,905.96
  5. Step 5: Solve for x
    x = 200,797,905.96/16,105.80
  6. Step 6: Final answer
    x = 12,467.43

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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.