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Finding the Fourth Proportional to 16,306.56, 22,512.60 and 11,826

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Solution

The fourth proportional to 16,306.56, 22,512.60 and 11,826 is: 16,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.56 : 22,512.60 = 11,826 : x
  2. Step 2: Convert to fraction form
    16,306.56/22,512.60 = 11,826/x
  3. Step 3: Cross multiply
    16,306.56x = 22,512.60 × 11,826
  4. Step 4: Simplify right side
    16,306.56x = 266,234,007.60
  5. Step 5: Solve for x
    x = 266,234,007.60/16,306.56
  6. Step 6: Final answer
    x = 16,326.80

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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.