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Finding the Fourth Proportional to 16,221.56, 22,383.99 and 9,505.85

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Solution

The fourth proportional to 16,221.56, 22,383.99 and 9,505.85 is: 13,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.56 : 22,383.99 = 9,505.85 : x
  2. Step 2: Convert to fraction form
    16,221.56/22,383.99 = 9,505.85/x
  3. Step 3: Cross multiply
    16,221.56x = 22,383.99 × 9,505.85
  4. Step 4: Simplify right side
    16,221.56x = 212,778,739.42
  5. Step 5: Solve for x
    x = 212,778,739.42/16,221.56
  6. Step 6: Final answer
    x = 13,117.04

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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.