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Finding the Fourth Proportional to 16,179.52, 22,327.68 and 9,107.60

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Solution

The fourth proportional to 16,179.52, 22,327.68 and 9,107.60 is: 12,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.52 : 22,327.68 = 9,107.60 : x
  2. Step 2: Convert to fraction form
    16,179.52/22,327.68 = 9,107.60/x
  3. Step 3: Cross multiply
    16,179.52x = 22,327.68 × 9,107.60
  4. Step 4: Simplify right side
    16,179.52x = 203,351,578.37
  5. Step 5: Solve for x
    x = 203,351,578.37/16,179.52
  6. Step 6: Final answer
    x = 12,568.46

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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.