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Finding the Fourth Proportional to 16,221.75, 22,386.02 and 8,769.75

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Solution

The fourth proportional to 16,221.75, 22,386.02 and 8,769.75 is: 12,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.75 : 22,386.02 = 8,769.75 : x
  2. Step 2: Convert to fraction form
    16,221.75/22,386.02 = 8,769.75/x
  3. Step 3: Cross multiply
    16,221.75x = 22,386.02 × 8,769.75
  4. Step 4: Simplify right side
    16,221.75x = 196,319,755.05
  5. Step 5: Solve for x
    x = 196,319,755.05/16,221.75
  6. Step 6: Final answer
    x = 12,102.26

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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.