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Finding the Fourth Proportional to 16,038.25, 22,131.89 and 8,867.75

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Solution

The fourth proportional to 16,038.25, 22,131.89 and 8,867.75 is: 12,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.25 : 22,131.89 = 8,867.75 : x
  2. Step 2: Convert to fraction form
    16,038.25/22,131.89 = 8,867.75/x
  3. Step 3: Cross multiply
    16,038.25x = 22,131.89 × 8,867.75
  4. Step 4: Simplify right side
    16,038.25x = 196,259,912.55
  5. Step 5: Solve for x
    x = 196,259,912.55/16,038.25
  6. Step 6: Final answer
    x = 12,236.99

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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.