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Finding the Fourth Proportional to 16,224.31, 22,389.55 and 8,772.31

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Solution

The fourth proportional to 16,224.31, 22,389.55 and 8,772.31 is: 12,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.31 : 22,389.55 = 8,772.31 : x
  2. Step 2: Convert to fraction form
    16,224.31/22,389.55 = 8,772.31/x
  3. Step 3: Cross multiply
    16,224.31x = 22,389.55 × 8,772.31
  4. Step 4: Simplify right side
    16,224.31x = 196,408,073.36
  5. Step 5: Solve for x
    x = 196,408,073.36/16,224.31
  6. Step 6: Final answer
    x = 12,105.79

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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.