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Finding the Fourth Proportional to 12,797.22, 19,183.50 and 6,560.16

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Solution

The fourth proportional to 12,797.22, 19,183.50 and 6,560.16 is: 9,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.22 : 19,183.50 = 6,560.16 : x
  2. Step 2: Convert to fraction form
    12,797.22/19,183.50 = 6,560.16/x
  3. Step 3: Cross multiply
    12,797.22x = 19,183.50 × 6,560.16
  4. Step 4: Simplify right side
    12,797.22x = 125,846,829.36
  5. Step 5: Solve for x
    x = 125,846,829.36/12,797.22
  6. Step 6: Final answer
    x = 9,833.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.