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Finding the Fourth Proportional to 12,797.36, 19,182.84 and 5,406.32

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Solution

The fourth proportional to 12,797.36, 19,182.84 and 5,406.32 is: 8,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.36 : 19,182.84 = 5,406.32 : x
  2. Step 2: Convert to fraction form
    12,797.36/19,182.84 = 5,406.32/x
  3. Step 3: Cross multiply
    12,797.36x = 19,182.84 × 5,406.32
  4. Step 4: Simplify right side
    12,797.36x = 103,708,571.55
  5. Step 5: Solve for x
    x = 103,708,571.55/12,797.36
  6. Step 6: Final answer
    x = 8,103.90

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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.