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Finding the Fourth Proportional to 16,220.78, 22,385.46 and 9,147.05

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Solution

The fourth proportional to 16,220.78, 22,385.46 and 9,147.05 is: 12,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.78 : 22,385.46 = 9,147.05 : x
  2. Step 2: Convert to fraction form
    16,220.78/22,385.46 = 9,147.05/x
  3. Step 3: Cross multiply
    16,220.78x = 22,385.46 × 9,147.05
  4. Step 4: Simplify right side
    16,220.78x = 204,760,809.97
  5. Step 5: Solve for x
    x = 204,760,809.97/16,220.78
  6. Step 6: Final answer
    x = 12,623.37

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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.