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Finding the Fourth Proportional to 16,308.50, 22,505.73 and 8,856.50

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Solution

The fourth proportional to 16,308.50, 22,505.73 and 8,856.50 is: 12,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.50 : 22,505.73 = 8,856.50 : x
  2. Step 2: Convert to fraction form
    16,308.50/22,505.73 = 8,856.50/x
  3. Step 3: Cross multiply
    16,308.50x = 22,505.73 × 8,856.50
  4. Step 4: Simplify right side
    16,308.50x = 199,321,997.75
  5. Step 5: Solve for x
    x = 199,321,997.75/16,308.50
  6. Step 6: Final answer
    x = 12,221.97

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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.