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Finding the Fourth Proportional to 16,205.44, 22,362.24 and 9,916.96

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Solution

The fourth proportional to 16,205.44, 22,362.24 and 9,916.96 is: 13,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.44 : 22,362.24 = 9,916.96 : x
  2. Step 2: Convert to fraction form
    16,205.44/22,362.24 = 9,916.96/x
  3. Step 3: Cross multiply
    16,205.44x = 22,362.24 × 9,916.96
  4. Step 4: Simplify right side
    16,205.44x = 221,765,439.59
  5. Step 5: Solve for x
    x = 221,765,439.59/16,205.44
  6. Step 6: Final answer
    x = 13,684.63

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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.