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Finding the Fourth Proportional to 12,797.02, 19,163.46 and 8,102.87

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Solution

The fourth proportional to 12,797.02, 19,163.46 and 8,102.87 is: 12,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.02 : 19,163.46 = 8,102.87 : x
  2. Step 2: Convert to fraction form
    12,797.02/19,163.46 = 8,102.87/x
  3. Step 3: Cross multiply
    12,797.02x = 19,163.46 × 8,102.87
  4. Step 4: Simplify right side
    12,797.02x = 155,279,025.13
  5. Step 5: Solve for x
    x = 155,279,025.13/12,797.02
  6. Step 6: Final answer
    x = 12,134.00

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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.