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Finding the Fourth Proportional to 16,212, 24,321.84 and 5,268

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Solution

The fourth proportional to 16,212, 24,321.84 and 5,268 is: 7,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212 : 24,321.84 = 5,268 : x
  2. Step 2: Convert to fraction form
    16,212/24,321.84 = 5,268/x
  3. Step 3: Cross multiply
    16,212x = 24,321.84 × 5,268
  4. Step 4: Simplify right side
    16,212x = 128,127,453.12
  5. Step 5: Solve for x
    x = 128,127,453.12/16,212
  6. Step 6: Final answer
    x = 7,903.25

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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.