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Finding the Fourth Proportional to 16,684.68, 25,027.74 and 6,297.24

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Solution

The fourth proportional to 16,684.68, 25,027.74 and 6,297.24 is: 9,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.68 : 25,027.74 = 6,297.24 : x
  2. Step 2: Convert to fraction form
    16,684.68/25,027.74 = 6,297.24/x
  3. Step 3: Cross multiply
    16,684.68x = 25,027.74 × 6,297.24
  4. Step 4: Simplify right side
    16,684.68x = 157,605,685.44
  5. Step 5: Solve for x
    x = 157,605,685.44/16,684.68
  6. Step 6: Final answer
    x = 9,446.13

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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.