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Finding the Fourth Proportional to 16,185.32, 24,273.84 and 5,797.16

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Solution

The fourth proportional to 16,185.32, 24,273.84 and 5,797.16 is: 8,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.32 : 24,273.84 = 5,797.16 : x
  2. Step 2: Convert to fraction form
    16,185.32/24,273.84 = 5,797.16/x
  3. Step 3: Cross multiply
    16,185.32x = 24,273.84 × 5,797.16
  4. Step 4: Simplify right side
    16,185.32x = 140,719,334.29
  5. Step 5: Solve for x
    x = 140,719,334.29/16,185.32
  6. Step 6: Final answer
    x = 8,694.26

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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.