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Finding the Fourth Proportional to 12,468.64, 18,694.32 and 5,539.36

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Solution

The fourth proportional to 12,468.64, 18,694.32 and 5,539.36 is: 8,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.64 : 18,694.32 = 5,539.36 : x
  2. Step 2: Convert to fraction form
    12,468.64/18,694.32 = 5,539.36/x
  3. Step 3: Cross multiply
    12,468.64x = 18,694.32 × 5,539.36
  4. Step 4: Simplify right side
    12,468.64x = 103,554,568.44
  5. Step 5: Solve for x
    x = 103,554,568.44/12,468.64
  6. Step 6: Final answer
    x = 8,305.20

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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.