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Finding the Fourth Proportional to 16,220.96, 22,384.88 and 9,147.33

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Solution

The fourth proportional to 16,220.96, 22,384.88 and 9,147.33 is: 12,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.96 : 22,384.88 = 9,147.33 : x
  2. Step 2: Convert to fraction form
    16,220.96/22,384.88 = 9,147.33/x
  3. Step 3: Cross multiply
    16,220.96x = 22,384.88 × 9,147.33
  4. Step 4: Simplify right side
    16,220.96x = 204,761,884.37
  5. Step 5: Solve for x
    x = 204,761,884.37/16,220.96
  6. Step 6: Final answer
    x = 12,623.29

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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.