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Finding the Fourth Proportional to 16,266.12, 22,446 and 9,096

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Solution

The fourth proportional to 16,266.12, 22,446 and 9,096 is: 12,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.12 : 22,446 = 9,096 : x
  2. Step 2: Convert to fraction form
    16,266.12/22,446 = 9,096/x
  3. Step 3: Cross multiply
    16,266.12x = 22,446 × 9,096
  4. Step 4: Simplify right side
    16,266.12x = 204,168,816
  5. Step 5: Solve for x
    x = 204,168,816/16,266.12
  6. Step 6: Final answer
    x = 12,551.78

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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.