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Finding the Fourth Proportional to 16,197.20, 22,352.51 and 9,027.85

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Solution

The fourth proportional to 16,197.20, 22,352.51 and 9,027.85 is: 12,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.20 : 22,352.51 = 9,027.85 : x
  2. Step 2: Convert to fraction form
    16,197.20/22,352.51 = 9,027.85/x
  3. Step 3: Cross multiply
    16,197.20x = 22,352.51 × 9,027.85
  4. Step 4: Simplify right side
    16,197.20x = 201,795,062.26
  5. Step 5: Solve for x
    x = 201,795,062.26/16,197.20
  6. Step 6: Final answer
    x = 12,458.64

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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.