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Finding the Fourth Proportional to 16,220.94, 22,384.85 and 9,147.31

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Solution

The fourth proportional to 16,220.94, 22,384.85 and 9,147.31 is: 12,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.94 : 22,384.85 = 9,147.31 : x
  2. Step 2: Convert to fraction form
    16,220.94/22,384.85 = 9,147.31/x
  3. Step 3: Cross multiply
    16,220.94x = 22,384.85 × 9,147.31
  4. Step 4: Simplify right side
    16,220.94x = 204,761,162.25
  5. Step 5: Solve for x
    x = 204,761,162.25/16,220.94
  6. Step 6: Final answer
    x = 12,623.26

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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.